What is the integral of sin^2(y)cos(y) ?

The integral of sin^2(y)cos(y) is (sin^3(y))/3+C

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integral of sin^2(y)cos(y)

\int sin^{2} (y) cos (y) d y

\frac{sin ^{3} ( y )}{3} + C

Solution steps

\int sin^{2} (y) cos (y) d y

Apply u-substitution

: \int u^{2} d u

= \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

= \frac{u ^{3}}{3}

Substitute back

u = sin (y)

= \frac{sin ^{3} ( y )}{3}

Add a constant to the solution

= \frac{sin ^{3} ( y )}{3} + C

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\int (4 x^{3} - 2 x) (x^{4} - x^{2} - 5)^{3} d x

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\int sin (a x) d x

What is the integral of sin^2(y)cos(y) ?
The integral of sin^2(y)cos(y) is (sin^3(y))/3+C