difficulty
stringclasses 3
values | category
stringclasses 6
values | question
stringlengths 5
35
|
|---|---|---|
Advanced
|
Trigonometric Substitution
|
∫1+9cos5(8w)sin2(8w)dw
|
Advanced
|
Trigonometric Substitution
|
∫(3+7cos3(x))sin2(x)dx
|
Moderate
|
Trigonometric Substitution
|
∫sin3(9y)sec2(9y)dy
|
Advanced
|
Trigonometric Substitution
|
∫tan5(z)cos5(z)dz
|
Advanced
|
Trigonometric Substitution
|
∫[tan(2t)−sin3(2t)]sec3(2t)dt
|
Basic
|
Partial Fractions
|
∫sec(x)^3dx
|
Advanced
|
Integration by Parts
|
∫√4+x2dx
|
Advanced
|
Integration by Parts
|
∫√1+4x2dx
|
Advanced
|
Integration by Parts
|
∫√1+x2dx
|
Advanced
|
Integration by Parts
|
∫√25+x2dx
|
Advanced
|
Integration by Parts
|
∫√x2+9dx
|
Advanced
|
Integration by Parts
|
∫√x2+4dx
|
Advanced
|
Integration by Parts
|
∫√x2+2dx
|
Advanced
|
Integration by Parts
|
∫√49+x2dx
|
Basic
|
Constant Rule
|
∫
1
3
dx
|
Basic
|
Constant Rule
|
∫0.5dx
|
Basic
|
Constant Rule
|
∫
20
16
dx
|
Basic
|
Constant Rule
|
∫
1
2
dx
|
Basic
|
Constant Rule
|
∫
3
4
dx
|
Basic
|
Constant Rule
|
∫
1
4
dx
|
Basic
|
Constant Rule
|
∫2.4dx
|
Basic
|
Constant Rule
|
∫−
1
7
dx
|
Moderate
|
Power Rule
|
∫
cos2(x)
sin2(x)
|
Basic
|
Constant Rule
|
∫−
2
3
dx
|
Basic
|
Constant Rule
|
∫1.8dx
|
Basic
|
Constant Rule
|
∫x−18dx
|
Basic
|
Constant Rule
|
∫x−5dx
|
Basic
|
Constant Rule
|
∫x−3dx
|
Basic
|
Constant Rule
|
∫y−
1
2
dy
|
Basic
|
Constant Rule
|
∫x−
3
12
dx
|
Basic
|
Constant Rule
|
∫y−2dy
|
Basic
|
Constant Rule
|
∫x−4dx
|
Basic
|
Constant Rule
|
∫x−
1
3
dx
|
Basic
|
Constant Rule
|
∫y−6dy
|
Basic
|
Constant Rule
|
∫x−
1
5
dx
|
Basic
|
Constant Rule
|
∫5xdx
|
Basic
|
Constant Rule
|
∫2xdx
|
Basic
|
Constant Rule
|
∫11xdx
|
Basic
|
Constant Rule
|
∫3x2dx
|
Basic
|
Constant Rule
|
∫4xdx
|
Basic
|
Constant Rule
|
∫5x2dx
|
Basic
|
Constant Rule
|
∫14xdx
|
Basic
|
Constant Rule
|
∫18xdx
|
Basic
|
Constant Rule
|
∫10x3dx
|
Basic
|
Constant Rule
|
∫5x7dx
|
Basic
|
Constant Rule
|
∫x−3dx
|
Basic
|
Constant Rule
|
∫6x−8dx
|
Basic
|
Constant Rule
|
∫15x−2dx
|
Basic
|
Constant Rule
|
∫3x−11dx
|
Basic
|
Constant Rule
|
∫x6−16xdx
|
Basic
|
Constant Rule
|
∫(13−x)dx
|
Basic
|
Constant Rule
|
∫(2x−3x2)dx
|
Basic
|
Constant Rule
|
∫x2−1dx
|
Basic
|
Constant Rule
|
∫4−x2dx
|
Basic
|
Constant Rule
|
∫5x4−4x5dx
|
Basic
|
Constant Rule
|
∫axdx
|
Basic
|
Constant Rule
|
∫2bxdx
|
Basic
|
Constant Rule
|
∫kx+4dx
|
Basic
|
Constant Rule
|
∫3ardr
|
Basic
|
Constant Rule
|
∫(ax+xa)dx
|
Basic
|
Constant Rule
|
∫(nx−nx)dx
|
Basic
|
Constant Rule
|
∫at−t5dt
|
Basic
|
Constant Rule
|
∫ax−5xdx
|
Basic
|
Constant Rule
|
∫6bxdx
|
Basic
|
Constant Rule
|
∫ax+4dx
|
Basic
|
Constant Rule
|
∫sin(x)dx
|
Basic
|
Constant Rule
|
∫2sin(x)dx
|
Basic
|
Constant Rule
|
∫−sin(x)dx
|
Basic
|
Constant Rule
|
∫10sin(x)dx
|
Basic
|
Constant Rule
|
∫5sin(x)dx
|
Basic
|
Constant Rule
|
∫9sin(x)dx
|
Basic
|
Constant Rule
|
∫−14sin(x)dx
|
Basic
|
Constant Rule
|
∫6sin(x)dx
|
Basic
|
Constant Rule
|
∫12sin(x)dx
|
Basic
|
Constant Rule
|
∫(−4sin(x))dx
|
Advanced
|
Integration by Parts
|
∫√9+4x2dx
|
Advanced
|
Integration by Parts
|
∫√1+16x2dx
|
Advanced
|
Integration by Parts
|
∫xsin(x)cos(x)dx
|
Advanced
|
Integration by Parts
|
∫xsin(2x)cos(3x)dx
|
Advanced
|
Integration by Parts
|
∫
2xsin(x)
cos3(x)
|
Basic
|
Multiple Integrals
|
∫sec(x)+2dx
|
Moderate
|
Trigonometric Substitution
|
∫ln(x)^3dx
|
Basic
|
Partial Fractions
|
∫cos(x)-3dx
|
Moderate
|
Integration by Parts
|
∫cos(x)^2dx
|
Moderate
|
Multiple Integrals
|
∫x^3^2dx
|
Advanced
|
Multiple Integrals
|
∫ln(x)^3dx
|
Basic
|
Multiple Integrals
|
∫ln(x)*4dx
|
Advanced
|
Integration by Parts
|
∫x^3dx
|
Moderate
|
Integration by Parts
|
∫x^3^2dx
|
Moderate
|
Integration by Parts
|
∫sin(x)-3dx
|
Moderate
|
Constant Rule
|
∫ln(x)^2dx
|
Advanced
|
Integration by Parts
|
∫sec(x)^2dx
|
Moderate
|
Partial Fractions
|
∫sec(x)+2dx
|
Advanced
|
Multiple Integrals
|
∫sin(x)^2dx
|
Basic
|
Partial Fractions
|
∫x^3-3dx
|
Advanced
|
Integration by Parts
|
∫sin(x)^2dx
|
Moderate
|
Integration by Parts
|
∫e^x*4dx
|
Basic
|
Trigonometric Substitution
|
∫tan(x)^3dx
|
Basic
|
Constant Rule
|
∫e^x*4dx
|
Moderate
|
Constant Rule
|
∫x^3+2dx
|
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