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

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

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

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

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

Solution steps

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

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 (x)

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

Add a constant to the solution

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

f (x) = x^{2} - 4, (- 5, 21)

n = 1 \sum \infty \frac{6}{n}

\frac{d}{d x} (2 + 6 x)

\frac{d}{d y} (y^{y})

\frac{d}{d x} (e^{3 x^{2}} + ln (5 x - 4))

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