difficulty
stringclasses 3
values | category
stringclasses 6
values | question
stringlengths 5
35
|
|---|---|---|
Moderate
|
Trigonometric Substitution
|
∫√6+9y2dy
|
Advanced
|
Trigonometric Substitution
|
∫(1−8z2)32dz
|
Moderate
|
Trigonometric Substitution
|
∫√9−16(3x−1)2dx
|
Moderate
|
Trigonometric Substitution
|
∫(11+(t2+1)2)52dt
|
Advanced
|
Trigonometric Substitution
|
∫√144(z+8)2−3dz
|
Moderate
|
Trigonometric Substitution
|
∫√4x2−24x+43dx
|
Moderate
|
Trigonometric Substitution
|
∫(2z2−24z+36)112dz
|
Moderate
|
Trigonometric Substitution
|
∫√−4−10t−5t2dt
|
Moderate
|
Trigonometric Substitution
|
∫√9sin2(4t)−1dt
|
Moderate
|
Trigonometric Substitution
|
∫√36−9e3zdz
|
Advanced
|
Trigonometric Substitution
|
∫√x+16dx
|
Moderate
|
Trigonometric Substitution
|
∫3x5√16−x2dx
|
Advanced
|
Trigonometric Substitution
|
∫t3(25+81t2)52dt
|
Advanced
|
Trigonometric Substitution
|
∫140w3√1−9w2dw
|
Advanced
|
Trigonometric Substitution
|
∫z5(9z2−25)32dz
|
Moderate
|
Trigonometric Substitution
|
∫−1−3y3√49y2−4dy
|
Moderate
|
Trigonometric Substitution
|
∫515x2√x2+4dx
|
Advanced
|
Trigonometric Substitution
|
∫√3−4t2t2dt
|
Moderate
|
Trigonometric Substitution
|
∫w5√8w2+1dw
|
Advanced
|
Trigonometric Substitution
|
∫√x2−15x3dx
|
Moderate
|
Trigonometric Substitution
|
∫2(x−3)6√−x2+6x−5dx
|
Moderate
|
Trigonometric Substitution
|
∫1(z+1)2(2z2+4z−34)32dz
|
Moderate
|
Trigonometric Substitution
|
∫√4y2−16y+19(y−2)6dy
|
Advanced
|
Trigonometric Substitution
|
∫129(t−4)3√t2−8t+7dt
|
Moderate
|
Trigonometric Substitution
|
∫60√5x2+10x+6dx
|
Moderate
|
Trigonometric Substitution
|
∫x7√9−x4dx
|
Advanced
|
Trigonometric Substitution
|
∫e12t√4e6t−1dt
|
Advanced
|
Trigonometric Substitution
|
∫sin(z)cos3(z)√16+cos2(z)dz
|
Advanced
|
Multiple Integrals
|
∫∞0(1+2x)e−xdx
|
Advanced
|
Multiple Integrals
|
∫0−∞(1+2x)e−xdx
|
Moderate
|
Multiple Integrals
|
∫1−5110+2zdz
|
Moderate
|
Multiple Integrals
|
∫214w3√w2−4dw
|
Moderate
|
Multiple Integrals
|
∫1−∞√6−ydy
|
Moderate
|
Multiple Integrals
|
∫∞29(1−3z)4dz
|
Basic
|
Multiple Integrals
|
∫40xx2−9dx
|
Basic
|
Multiple Integrals
|
∫∞−∞6w3(w4+1)2dw
|
Basic
|
Multiple Integrals
|
∫411x2+x−6dx
|
Moderate
|
Multiple Integrals
|
∫0−∞e1xx2dx
|
Advanced
|
Multiple Integrals
|
∫∞42−4x+6x2dx
|
Advanced
|
Multiple Integrals
|
∫5014w−20dw
|
Advanced
|
Multiple Integrals
|
∫2−136√4−2zdz
|
Moderate
|
Multiple Integrals
|
∫0−∞xe2+3xdx
|
Moderate
|
Multiple Integrals
|
∫∞0xe2+3xdx
|
Advanced
|
Multiple Integrals
|
∫∞21x2+1dx
|
Advanced
|
Multiple Integrals
|
∫301z2−4zdz
|
Moderate
|
Multiple Integrals
|
∫1−∞xx2+1dx
|
Advanced
|
Multiple Integrals
|
∫2−11y2−2y−3dy
|
Moderate
|
Multiple Integrals
|
∫0−∞cos(w)dw
|
Moderate
|
Multiple Integrals
|
∫∞101(5−2z)2dz
|
Moderate
|
Multiple Integrals
|
∫∞−∞z3z4+1dz
|
Moderate
|
Multiple Integrals
|
∫4112y−6dy
|
Moderate
|
Multiple Integrals
|
∫5113√w−2dw
|
Advanced
|
Multiple Integrals
|
∫1−2e1xx2dx
|
Advanced
|
Multiple Integrals
|
∫∞−∞x2ex3dx
|
Advanced
|
Multiple Integrals
|
∫∞−∞y(y2+1)3dy
|
Moderate
|
Multiple Integrals
|
∫30w3√9−w2dw
|
Advanced
|
Multiple Integrals
|
∫1−31w2+2wdw
|
Advanced
|
Multiple Integrals
|
∫∞0e1xx2dx
|
Moderate
|
Multiple Integrals
|
∫∞01z[ln(z)]2dz
|
Moderate
|
Multiple Integrals
|
∫∞01w−1dw
|
Basic
|
Partial Fractions
|
∫sin3(23x)cos4(23x)dx
|
Basic
|
Partial Fractions
|
∫sin8(3z)cos5(3z)dz
|
Moderate
|
Partial Fractions
|
∫cos4(2t)dt
|
Advanced
|
Partial Fractions
|
∫2ππcos3(12w)sin5(12w)dw
|
Basic
|
Partial Fractions
|
∫sec6(3y)tan2(3y)dy
|
Advanced
|
Partial Fractions
|
∫tan3(6x)sec10(6x)dx
|
Basic
|
Partial Fractions
|
∫π40tan7(z)sec3(z)dz
|
Basic
|
Partial Fractions
|
∫cos(3t)sin(8t)dt
|
Advanced
|
Partial Fractions
|
∫31sin(8x)sin(x)dx
|
Moderate
|
Partial Fractions
|
∫cot(10z)csc4(10z)dz
|
Moderate
|
Partial Fractions
|
∫csc6(14w)cot4(14w)dw
|
Moderate
|
Partial Fractions
|
∫sec4(2t)tan9(2t)dt
|
Basic
|
Partial Fractions
|
∫2+7sin3(z)cos2(z)dz
|
Basic
|
Partial Fractions
|
∫[9sin5(3x)−2cos3(3x)]csc4(3x)dx
|
Moderate
|
Trigonometric Substitution
|
∫cos5(2t)sin2(2t)dt
|
Advanced
|
Trigonometric Substitution
|
∫cos3(12x)dx
|
Advanced
|
Trigonometric Substitution
|
∫cos2(z)sin4(z)dz
|
Advanced
|
Trigonometric Substitution
|
∫ππ3sin5(34w)cos6(34w)dw
|
Advanced
|
Trigonometric Substitution
|
∫π0cos11(5z)sin3(5z)dz
|
Moderate
|
Trigonometric Substitution
|
∫sin2(7x)dx
|
Moderate
|
Trigonometric Substitution
|
∫π60tan3(8x)sec3(8x)dx
|
Moderate
|
Trigonometric Substitution
|
∫sec8(12t)tan5(12t)dt
|
Advanced
|
Trigonometric Substitution
|
∫sec2(9z)tan3(9z)dz
|
Advanced
|
Trigonometric Substitution
|
∫π3π4sec6(10t)tan4(10t)dt
|
Moderate
|
Trigonometric Substitution
|
∫tan12(2w)sec6(2w)dw
|
Moderate
|
Trigonometric Substitution
|
∫cot2(3x)csc6(3x)dx
|
Advanced
|
Trigonometric Substitution
|
∫2π3π3csc3(14w)cot3(14w)dw
|
Advanced
|
Trigonometric Substitution
|
∫csc4(6w)dw
|
Moderate
|
Trigonometric Substitution
|
∫csc12(x)cot5(x)dx
|
Moderate
|
Trigonometric Substitution
|
∫cot(x)dx
|
Moderate
|
Trigonometric Substitution
|
∫cot3(x)dx
|
Moderate
|
Trigonometric Substitution
|
∫csc(x)dx
|
Advanced
|
Trigonometric Substitution
|
∫csc3(x)dx
|
Moderate
|
Trigonometric Substitution
|
∫4−2sin(8x)cos(15x)dx
|
Advanced
|
Trigonometric Substitution
|
∫cos(2x)cos(24x)dx
|
Moderate
|
Trigonometric Substitution
|
∫sin(13z)sin(9z)dz
|
Moderate
|
Trigonometric Substitution
|
∫cos5(2t)sin3(2t)dt
|
Moderate
|
Trigonometric Substitution
|
∫sin3(2−x)cos2(2−x)dx
|
Moderate
|
Trigonometric Substitution
|
∫sec6(12z)tan8(12z)dz
|
Moderate
|
Trigonometric Substitution
|
∫tan5(x)sec2(x)dx
|
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