What is the integral of sin^4(y)cos(y) ?

The integral of sin^4(y)cos(y) is (sin^5(y))/5+C

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integral of sin^4(y)cos(y)

\int sin^{4} (y) cos (y) d y

\frac{sin ^{5} ( y )}{5} + C

Solution steps

\int sin^{4} (y) cos (y) d y

Apply u-substitution

: \int u^{4} d u

= \int u^{4} d u

Apply the Power Rule

: \frac{u ^{5}}{5}

= \frac{u ^{5}}{5}

Substitute back

u = sin (y)

= \frac{sin ^{5} ( y )}{5}

Add a constant to the solution

= \frac{sin ^{5} ( y )}{5} + C

\frac{d}{d x} (\frac{0.001 x}{0.001 x + 1})

y = x^{2} sin (x)

(x^{8})^{^{'}}

\int sec^{2} (x) - 8 d x

What is the integral of sin^4(y)cos(y) ?
The integral of sin^4(y)cos(y) is (sin^5(y))/5+C