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

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

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

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

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

Solution steps

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

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 (x)

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

Add a constant to the solution

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

\frac{7 x - 2}{9 x + 1}

\frac{\partial}{\partial x} (x \cdot ln (t))

\frac{d v}{d t} = 9.81 - \frac{0.5}{v ^{- 1}}

k = 0 \sum \infty 5 \cdot 3^{k}

- \frac{4 x}{( x ^{2} - 1 ) ^{2}}

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