Datasets:
chenpanli
/
integrals

Dataset card Data Studio Files
xet
 Community
1
id
stringlengths
9
9
stage
stringclasses
1 value
k
int64
1
1
integrand
stringlengths
2
20
integrand_latex
stringlengths
3
50
integrand_latex_integral
stringlengths
14
61
reference_antiderivative
stringlengths
3
92
category
stringclasses
5 values
variable
stringclasses
1 value
atom-0700
atomic
1
-log(-13*x - 6)
- \log{\left(- 13 x - 6 \right)}
\int - \log{\left(- 13 x - 6 \right)} \, dx
-x*log(-13*x - 6) + x - 6*log(13*x + 6)/13
logarithmic_rational
x
atom-0701
atomic
1
-3*log(2*x - 5)
- 3 \log{\left(2 x - 5 \right)}
\int - 3 \log{\left(2 x - 5 \right)} \, dx
-3*x*log(2*x - 5) + 3*x + 15*log(2*x - 5)/2
logarithmic_rational
x
atom-0702
atomic
1
-log(7*x - 2)
- \log{\left(7 x - 2 \right)}
\int - \log{\left(7 x - 2 \right)} \, dx
-x*log(7*x - 2) + x + 2*log(7*x - 2)/7
logarithmic_rational
x
atom-0703
atomic
1
-5*log(-8*x - 13)
- 5 \log{\left(- 8 x - 13 \right)}
\int - 5 \log{\left(- 8 x - 13 \right)} \, dx
-5*x*log(-8*x - 13) + 5*x - 65*log(8*x + 13)/8
logarithmic_rational
x
atom-0704
atomic
1
2*log(4*x + 4)
2 \log{\left(4 x + 4 \right)}
\int 2 \log{\left(4 x + 4 \right)} \, dx
2*x*log(4*x + 4) - 2*x + 2*log(x + 1)
logarithmic_rational
x
atom-0705
atomic
1
-4*log(7 - 15*x)
- 4 \log{\left(7 - 15 x \right)}
\int - 4 \log{\left(7 - 15 x \right)} \, dx
-4*x*log(7 - 15*x) + 4*x + 28*log(15*x - 7)/15
logarithmic_rational
x
atom-0706
atomic
1
-3*log(15*x - 4)
- 3 \log{\left(15 x - 4 \right)}
\int - 3 \log{\left(15 x - 4 \right)} \, dx
-3*x*log(15*x - 4) + 3*x + 4*log(15*x - 4)/5
logarithmic_rational
x
atom-0707
atomic
1
-3/(-4*x - 11)
- \frac{3}{- 4 x - 11}
\int - \frac{3}{- 4 x - 11} \, dx
3*log(4*x + 11)/4
logarithmic_rational
x
atom-0708
atomic
1
-4/(9*x + 13)
- \frac{4}{9 x + 13}
\int - \frac{4}{9 x + 13} \, dx
-4*log(9*x + 13)/9
logarithmic_rational
x
atom-0709
atomic
1
-1/(x - 13)
- \frac{1}{x - 13}
\int - \frac{1}{x - 13} \, dx
-log(x - 13)
logarithmic_rational
x
atom-0710
atomic
1
2*log(1 - x)
2 \log{\left(1 - x \right)}
\int 2 \log{\left(1 - x \right)} \, dx
2*x*log(1 - x) - 2*x - 2*log(x - 1)
logarithmic_rational
x
atom-0711
atomic
1
4/(-10*x - 4)
\frac{4}{- 10 x - 4}
\int \frac{4}{- 10 x - 4} \, dx
-2*log(5*x + 2)/5
logarithmic_rational
x
atom-0712
atomic
1
4*log(6*x + 8)
4 \log{\left(6 x + 8 \right)}
\int 4 \log{\left(6 x + 8 \right)} \, dx
4*x*log(6*x + 8) - 4*x + 16*log(3*x + 4)/3
logarithmic_rational
x
atom-0713
atomic
1
-5*log(12*x + 12)
- 5 \log{\left(12 x + 12 \right)}
\int - 5 \log{\left(12 x + 12 \right)} \, dx
-5*x*log(12*x + 12) + 5*x - 5*log(x + 1)
logarithmic_rational
x
atom-0714
atomic
1
-5*log(2*x + 10)
- 5 \log{\left(2 x + 10 \right)}
\int - 5 \log{\left(2 x + 10 \right)} \, dx
-5*x*log(2*x + 10) + 5*x - 25*log(x + 5)
logarithmic_rational
x
atom-0715
atomic
1
-2/(-5*x - 8)
- \frac{2}{- 5 x - 8}
\int - \frac{2}{- 5 x - 8} \, dx
2*log(5*x + 8)/5
logarithmic_rational
x
atom-0716
atomic
1
-1/(11*x - 13)
- \frac{1}{11 x - 13}
\int - \frac{1}{11 x - 13} \, dx
-log(11*x - 13)/11
logarithmic_rational
x
atom-0717
atomic
1
3*log(6*x + 13)
3 \log{\left(6 x + 13 \right)}
\int 3 \log{\left(6 x + 13 \right)} \, dx
3*x*log(6*x + 13) - 3*x + 13*log(6*x + 13)/2
logarithmic_rational
x
atom-0718
atomic
1
3*log(15 - 14*x)
3 \log{\left(15 - 14 x \right)}
\int 3 \log{\left(15 - 14 x \right)} \, dx
3*x*log(15 - 14*x) - 3*x - 45*log(14*x - 15)/14
logarithmic_rational
x
atom-0719
atomic
1
-1/(9*x + 12)
- \frac{1}{9 x + 12}
\int - \frac{1}{9 x + 12} \, dx
-log(9*x + 12)/9
logarithmic_rational
x
atom-0720
atomic
1
3*log(-x - 15)
3 \log{\left(- x - 15 \right)}
\int 3 \log{\left(- x - 15 \right)} \, dx
3*x*log(-x - 15) - 3*x + 45*log(x + 15)
logarithmic_rational
x
atom-0721
atomic
1
4/(10*x - 6)
\frac{4}{10 x - 6}
\int \frac{4}{10 x - 6} \, dx
2*log(5*x - 3)/5
logarithmic_rational
x
atom-0722
atomic
1
2*log(3 - 4*x)
2 \log{\left(3 - 4 x \right)}
\int 2 \log{\left(3 - 4 x \right)} \, dx
2*x*log(3 - 4*x) - 2*x - 3*log(4*x - 3)/2
logarithmic_rational
x
atom-0723
atomic
1
3*log(9*x + 10)
3 \log{\left(9 x + 10 \right)}
\int 3 \log{\left(9 x + 10 \right)} \, dx
3*x*log(9*x + 10) - 3*x + 10*log(9*x + 10)/3
logarithmic_rational
x
atom-0724
atomic
1
log(-15*x - 8)
\log{\left(- 15 x - 8 \right)}
\int \log{\left(- 15 x - 8 \right)} \, dx
x*log(-15*x - 8) - x + 8*log(15*x + 8)/15
logarithmic_rational
x
atom-0725
atomic
1
-5*log(9*x + 6)
- 5 \log{\left(9 x + 6 \right)}
\int - 5 \log{\left(9 x + 6 \right)} \, dx
-5*x*log(9*x + 6) + 5*x - 10*log(3*x + 2)/3
logarithmic_rational
x
atom-0726
atomic
1
-4/(1 - 9*x)
- \frac{4}{1 - 9 x}
\int - \frac{4}{1 - 9 x} \, dx
4*log(9*x - 1)/9
logarithmic_rational
x
atom-0727
atomic
1
2/(15*x - 14)
\frac{2}{15 x - 14}
\int \frac{2}{15 x - 14} \, dx
2*log(15*x - 14)/15
logarithmic_rational
x
atom-0728
atomic
1
-log(-13*x - 14)
- \log{\left(- 13 x - 14 \right)}
\int - \log{\left(- 13 x - 14 \right)} \, dx
-x*log(-13*x - 14) + x - 14*log(13*x + 14)/13
logarithmic_rational
x
atom-0729
atomic
1
2/(8*x - 13)
\frac{2}{8 x - 13}
\int \frac{2}{8 x - 13} \, dx
log(8*x - 13)/4
logarithmic_rational
x
atom-0730
atomic
1
5*log(11*x - 3)
5 \log{\left(11 x - 3 \right)}
\int 5 \log{\left(11 x - 3 \right)} \, dx
5*x*log(11*x - 3) - 5*x - 15*log(11*x - 3)/11
logarithmic_rational
x
atom-0731
atomic
1
log(6*x + 15)
\log{\left(6 x + 15 \right)}
\int \log{\left(6 x + 15 \right)} \, dx
x*log(6*x + 15) - x + 5*log(2*x + 5)/2
logarithmic_rational
x
atom-0732
atomic
1
-1/(12*x - 5)
- \frac{1}{12 x - 5}
\int - \frac{1}{12 x - 5} \, dx
-log(12*x - 5)/12
logarithmic_rational
x
atom-0733
atomic
1
2/(-7*x - 8)
\frac{2}{- 7 x - 8}
\int \frac{2}{- 7 x - 8} \, dx
-2*log(7*x + 8)/7
logarithmic_rational
x
atom-0734
atomic
1
-3*log(9*x + 9)
- 3 \log{\left(9 x + 9 \right)}
\int - 3 \log{\left(9 x + 9 \right)} \, dx
-3*x*log(9*x + 9) + 3*x - 3*log(x + 1)
logarithmic_rational
x
atom-0735
atomic
1
-4*log(-10*x - 1)
- 4 \log{\left(- 10 x - 1 \right)}
\int - 4 \log{\left(- 10 x - 1 \right)} \, dx
-4*x*log(-10*x - 1) + 4*x - 2*log(10*x + 1)/5
logarithmic_rational
x
atom-0736
atomic
1
-4/(2*x - 4)
- \frac{4}{2 x - 4}
\int - \frac{4}{2 x - 4} \, dx
-2*log(x - 2)
logarithmic_rational
x
atom-0737
atomic
1
2*log(-6*x - 1)
2 \log{\left(- 6 x - 1 \right)}
\int 2 \log{\left(- 6 x - 1 \right)} \, dx
2*x*log(-6*x - 1) - 2*x + log(6*x + 1)/3
logarithmic_rational
x
atom-0738
atomic
1
-4*log(10 - 10*x)
- 4 \log{\left(10 - 10 x \right)}
\int - 4 \log{\left(10 - 10 x \right)} \, dx
-4*x*log(10 - 10*x) + 4*x + 4*log(x - 1)
logarithmic_rational
x
atom-0739
atomic
1
-2*log(11*x + 12)
- 2 \log{\left(11 x + 12 \right)}
\int - 2 \log{\left(11 x + 12 \right)} \, dx
-2*x*log(11*x + 12) + 2*x - 24*log(11*x + 12)/11
logarithmic_rational
x
atom-0740
atomic
1
-2*log(15*x - 4)
- 2 \log{\left(15 x - 4 \right)}
\int - 2 \log{\left(15 x - 4 \right)} \, dx
-2*x*log(15*x - 4) + 2*x + 8*log(15*x - 4)/15
logarithmic_rational
x
atom-0741
atomic
1
5*log(-6*x - 7)
5 \log{\left(- 6 x - 7 \right)}
\int 5 \log{\left(- 6 x - 7 \right)} \, dx
5*x*log(-6*x - 7) - 5*x + 35*log(6*x + 7)/6
logarithmic_rational
x
atom-0742
atomic
1
-5*log(15*x - 3)
- 5 \log{\left(15 x - 3 \right)}
\int - 5 \log{\left(15 x - 3 \right)} \, dx
-5*x*log(15*x - 3) + 5*x + log(5*x - 1)
logarithmic_rational
x
atom-0743
atomic
1
-4*log(-x - 12)
- 4 \log{\left(- x - 12 \right)}
\int - 4 \log{\left(- x - 12 \right)} \, dx
-4*x*log(-x - 12) + 4*x - 48*log(x + 12)
logarithmic_rational
x
atom-0744
atomic
1
-4*log(-15*x - 14)
- 4 \log{\left(- 15 x - 14 \right)}
\int - 4 \log{\left(- 15 x - 14 \right)} \, dx
-4*x*log(-15*x - 14) + 4*x - 56*log(15*x + 14)/15
logarithmic_rational
x
atom-0745
atomic
1
-3*log(11 - 9*x)
- 3 \log{\left(11 - 9 x \right)}
\int - 3 \log{\left(11 - 9 x \right)} \, dx
-3*x*log(11 - 9*x) + 3*x + 11*log(9*x - 11)/3
logarithmic_rational
x
atom-0746
atomic
1
4*log(3*x - 7)
4 \log{\left(3 x - 7 \right)}
\int 4 \log{\left(3 x - 7 \right)} \, dx
4*x*log(3*x - 7) - 4*x - 28*log(3*x - 7)/3
logarithmic_rational
x
atom-0747
atomic
1
-5*log(-13*x - 9)
- 5 \log{\left(- 13 x - 9 \right)}
\int - 5 \log{\left(- 13 x - 9 \right)} \, dx
-5*x*log(-13*x - 9) + 5*x - 45*log(13*x + 9)/13
logarithmic_rational
x
atom-0748
atomic
1
-3/(13 - 13*x)
- \frac{3}{13 - 13 x}
\int - \frac{3}{13 - 13 x} \, dx
3*log(13*x - 13)/13
logarithmic_rational
x
atom-0749
atomic
1
-4/(15 - 14*x)
- \frac{4}{15 - 14 x}
\int - \frac{4}{15 - 14 x} \, dx
2*log(14*x - 15)/7
logarithmic_rational
x
atom-0750
atomic
1
4*log(11 - 2*x)
4 \log{\left(11 - 2 x \right)}
\int 4 \log{\left(11 - 2 x \right)} \, dx
4*x*log(11 - 2*x) - 4*x - 22*log(2*x - 11)
logarithmic_rational
x
atom-0751
atomic
1
-5/(6 - 3*x)
- \frac{5}{6 - 3 x}
\int - \frac{5}{6 - 3 x} \, dx
5*log(3*x - 6)/3
logarithmic_rational
x
atom-0752
atomic
1
-2/(14*x - 10)
- \frac{2}{14 x - 10}
\int - \frac{2}{14 x - 10} \, dx
-log(7*x - 5)/7
logarithmic_rational
x
atom-0753
atomic
1
-3/(4 - 14*x)
- \frac{3}{4 - 14 x}
\int - \frac{3}{4 - 14 x} \, dx
3*log(14*x - 4)/14
logarithmic_rational
x
atom-0754
atomic
1
5*log(-6*x)
5 \log{\left(- 6 x \right)}
\int 5 \log{\left(- 6 x \right)} \, dx
5*x*log(-6*x) - 5*x
logarithmic_rational
x
atom-0755
atomic
1
-5/(-13*x - 7)
- \frac{5}{- 13 x - 7}
\int - \frac{5}{- 13 x - 7} \, dx
5*log(13*x + 7)/13
logarithmic_rational
x
atom-0756
atomic
1
-2/(5*x + 13)
- \frac{2}{5 x + 13}
\int - \frac{2}{5 x + 13} \, dx
-2*log(5*x + 13)/5
logarithmic_rational
x
atom-0757
atomic
1
5*log(10*x + 2)
5 \log{\left(10 x + 2 \right)}
\int 5 \log{\left(10 x + 2 \right)} \, dx
5*x*log(10*x + 2) - 5*x + log(5*x + 1)
logarithmic_rational
x
atom-0758
atomic
1
2/(2*x + 10)
\frac{2}{2 x + 10}
\int \frac{2}{2 x + 10} \, dx
log(x + 5)
logarithmic_rational
x
atom-0759
atomic
1
1/(-7*x - 10)
\frac{1}{- 7 x - 10}
\int \frac{1}{- 7 x - 10} \, dx
-log(7*x + 10)/7
logarithmic_rational
x
atom-0760
atomic
1
-5*log(13*x + 10)
- 5 \log{\left(13 x + 10 \right)}
\int - 5 \log{\left(13 x + 10 \right)} \, dx
-5*x*log(13*x + 10) + 5*x - 50*log(13*x + 10)/13
logarithmic_rational
x
atom-0761
atomic
1
2*log(x - 4)
2 \log{\left(x - 4 \right)}
\int 2 \log{\left(x - 4 \right)} \, dx
2*x*log(x - 4) - 2*x - 8*log(x - 4)
logarithmic_rational
x
atom-0762
atomic
1
-3*log(-12*x - 8)
- 3 \log{\left(- 12 x - 8 \right)}
\int - 3 \log{\left(- 12 x - 8 \right)} \, dx
-3*x*log(-12*x - 8) + 3*x - 2*log(3*x + 2)
logarithmic_rational
x
atom-0763
atomic
1
3/(11*x + 10)
\frac{3}{11 x + 10}
\int \frac{3}{11 x + 10} \, dx
3*log(11*x + 10)/11
logarithmic_rational
x
atom-0764
atomic
1
-2*log(3*x + 12)
- 2 \log{\left(3 x + 12 \right)}
\int - 2 \log{\left(3 x + 12 \right)} \, dx
-2*x*log(3*x + 12) + 2*x - 8*log(x + 4)
logarithmic_rational
x
atom-0765
atomic
1
-3/(-10*x - 8)
- \frac{3}{- 10 x - 8}
\int - \frac{3}{- 10 x - 8} \, dx
3*log(10*x + 8)/10
logarithmic_rational
x
atom-0766
atomic
1
4/(7 - 15*x)
\frac{4}{7 - 15 x}
\int \frac{4}{7 - 15 x} \, dx
-4*log(15*x - 7)/15
logarithmic_rational
x
atom-0767
atomic
1
4*log(15*x - 9)
4 \log{\left(15 x - 9 \right)}
\int 4 \log{\left(15 x - 9 \right)} \, dx
4*x*log(15*x - 9) - 4*x - 12*log(5*x - 3)/5
logarithmic_rational
x
atom-0768
atomic
1
3/(-6*x - 10)
\frac{3}{- 6 x - 10}
\int \frac{3}{- 6 x - 10} \, dx
-log(6*x + 10)/2
logarithmic_rational
x
atom-0769
atomic
1
-5*log(4 - 8*x)
- 5 \log{\left(4 - 8 x \right)}
\int - 5 \log{\left(4 - 8 x \right)} \, dx
-5*x*log(4 - 8*x) + 5*x + 5*log(2*x - 1)/2
logarithmic_rational
x
atom-0770
atomic
1
-5/(14 - 5*x)
- \frac{5}{14 - 5 x}
\int - \frac{5}{14 - 5 x} \, dx
log(5*x - 14)
logarithmic_rational
x
atom-0771
atomic
1
-3*log(14*x + 10)
- 3 \log{\left(14 x + 10 \right)}
\int - 3 \log{\left(14 x + 10 \right)} \, dx
-3*x*log(14*x + 10) + 3*x - 15*log(7*x + 5)/7
logarithmic_rational
x
atom-0772
atomic
1
-5/(-15*x - 11)
- \frac{5}{- 15 x - 11}
\int - \frac{5}{- 15 x - 11} \, dx
log(15*x + 11)/3
logarithmic_rational
x
atom-0773
atomic
1
-4*log(12*x + 1)
- 4 \log{\left(12 x + 1 \right)}
\int - 4 \log{\left(12 x + 1 \right)} \, dx
-4*x*log(12*x + 1) + 4*x - log(12*x + 1)/3
logarithmic_rational
x
atom-0774
atomic
1
5*log(3 - 3*x)
5 \log{\left(3 - 3 x \right)}
\int 5 \log{\left(3 - 3 x \right)} \, dx
5*x*log(3 - 3*x) - 5*x - 5*log(x - 1)
logarithmic_rational
x
atom-0775
atomic
1
-3/(8 - 10*x)
- \frac{3}{8 - 10 x}
\int - \frac{3}{8 - 10 x} \, dx
3*log(10*x - 8)/10
logarithmic_rational
x
atom-0776
atomic
1
5/(-5*x - 10)
\frac{5}{- 5 x - 10}
\int \frac{5}{- 5 x - 10} \, dx
-log(x + 2)
logarithmic_rational
x
atom-0777
atomic
1
-2/(6*x + 3)
- \frac{2}{6 x + 3}
\int - \frac{2}{6 x + 3} \, dx
-log(6*x + 3)/3
logarithmic_rational
x
atom-0778
atomic
1
-5*log(15*x + 7)
- 5 \log{\left(15 x + 7 \right)}
\int - 5 \log{\left(15 x + 7 \right)} \, dx
-5*x*log(15*x + 7) + 5*x - 7*log(15*x + 7)/3
logarithmic_rational
x
atom-0779
atomic
1
4/(-14*x - 10)
\frac{4}{- 14 x - 10}
\int \frac{4}{- 14 x - 10} \, dx
-2*log(7*x + 5)/7
logarithmic_rational
x
atom-0780
atomic
1
5*log(3*x - 12)
5 \log{\left(3 x - 12 \right)}
\int 5 \log{\left(3 x - 12 \right)} \, dx
5*x*log(3*x - 12) - 5*x - 20*log(x - 4)
logarithmic_rational
x
atom-0781
atomic
1
-4*log(-8*x - 4)
- 4 \log{\left(- 8 x - 4 \right)}
\int - 4 \log{\left(- 8 x - 4 \right)} \, dx
-4*x*log(-8*x - 4) + 4*x - 2*log(2*x + 1)
logarithmic_rational
x
atom-0782
atomic
1
5*log(13*x + 15)
5 \log{\left(13 x + 15 \right)}
\int 5 \log{\left(13 x + 15 \right)} \, dx
5*x*log(13*x + 15) - 5*x + 75*log(13*x + 15)/13
logarithmic_rational
x
atom-0783
atomic
1
2/(-15*x - 7)
\frac{2}{- 15 x - 7}
\int \frac{2}{- 15 x - 7} \, dx
-2*log(15*x + 7)/15
logarithmic_rational
x
atom-0784
atomic
1
-log(10*x - 12)
- \log{\left(10 x - 12 \right)}
\int - \log{\left(10 x - 12 \right)} \, dx
-x*log(10*x - 12) + x + 6*log(5*x - 6)/5
logarithmic_rational
x
atom-0785
atomic
1
log(8 - x)
\log{\left(8 - x \right)}
\int \log{\left(8 - x \right)} \, dx
x*log(8 - x) - x - 8*log(x - 8)
logarithmic_rational
x
atom-0786
atomic
1
log(13*x - 3)
\log{\left(13 x - 3 \right)}
\int \log{\left(13 x - 3 \right)} \, dx
x*log(13*x - 3) - x - 3*log(13*x - 3)/13
logarithmic_rational
x
atom-0787
atomic
1
-4/(11*x)
- \frac{4}{11 x}
\int - \frac{4}{11 x} \, dx
-4*log(x)/11
logarithmic_rational
x
atom-0788
atomic
1
-3*log(-x - 13)
- 3 \log{\left(- x - 13 \right)}
\int - 3 \log{\left(- x - 13 \right)} \, dx
-3*x*log(-x - 13) + 3*x - 39*log(x + 13)
logarithmic_rational
x
atom-0789
atomic
1
-log(-15*x - 5)
- \log{\left(- 15 x - 5 \right)}
\int - \log{\left(- 15 x - 5 \right)} \, dx
-x*log(-15*x - 5) + x - log(3*x + 1)/3
logarithmic_rational
x
atom-0790
atomic
1
-4*log(-5*x - 10)
- 4 \log{\left(- 5 x - 10 \right)}
\int - 4 \log{\left(- 5 x - 10 \right)} \, dx
-4*x*log(-5*x - 10) + 4*x - 8*log(x + 2)
logarithmic_rational
x
atom-0791
atomic
1
-4*log(2*x + 15)
- 4 \log{\left(2 x + 15 \right)}
\int - 4 \log{\left(2 x + 15 \right)} \, dx
-4*x*log(2*x + 15) + 4*x - 30*log(2*x + 15)
logarithmic_rational
x
atom-0792
atomic
1
4*log(4*x + 13)
4 \log{\left(4 x + 13 \right)}
\int 4 \log{\left(4 x + 13 \right)} \, dx
4*x*log(4*x + 13) - 4*x + 13*log(4*x + 13)
logarithmic_rational
x
atom-0793
atomic
1
log(15*x + 5)
\log{\left(15 x + 5 \right)}
\int \log{\left(15 x + 5 \right)} \, dx
x*log(15*x + 5) - x + log(3*x + 1)/3
logarithmic_rational
x
atom-0794
atomic
1
-3/(-14*x - 12)
- \frac{3}{- 14 x - 12}
\int - \frac{3}{- 14 x - 12} \, dx
3*log(14*x + 12)/14
logarithmic_rational
x
atom-0795
atomic
1
log(7*x + 2)
\log{\left(7 x + 2 \right)}
\int \log{\left(7 x + 2 \right)} \, dx
x*log(7*x + 2) - x + 2*log(7*x + 2)/7
logarithmic_rational
x
atom-0796
atomic
1
5/(-6*x - 6)
\frac{5}{- 6 x - 6}
\int \frac{5}{- 6 x - 6} \, dx
-5*log(6*x + 6)/6
logarithmic_rational
x
atom-0797
atomic
1
log(3*x + 2)
\log{\left(3 x + 2 \right)}
\int \log{\left(3 x + 2 \right)} \, dx
x*log(3*x + 2) - x + 2*log(3*x + 2)/3
logarithmic_rational
x
atom-0798
atomic
1
-5*log(-4*x - 15)
- 5 \log{\left(- 4 x - 15 \right)}
\int - 5 \log{\left(- 4 x - 15 \right)} \, dx
-5*x*log(-4*x - 15) + 5*x - 75*log(4*x + 15)/4
logarithmic_rational
x
atom-0799
atomic
1
5/(5*x + 4)
\frac{5}{5 x + 4}
\int \frac{5}{5 x + 4} \, dx
log(5*x + 4)
logarithmic_rational
x