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

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

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

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

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

Solution steps

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

\int (sin (t))^{2} d t

\frac{\partial}{\partial x} (e^{2 x} + e^{- 2 x})

x \to 0 lim (\frac{3 ^{x} - 1}{x})

f (x) = \frac{- 4 x ^{2} + 3 x - 7}{2 x ^{2} - 10 x - 3}

\int \frac{1}{x ( x ^{2} + 5 )} d x

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