Split (1)

train · 571 rows

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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