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) \cdot 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

Apply the Power Rule

= \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{d}{d y} (\frac{y}{( x ^{2} + y ^{2} ) ^{\frac{3}{2}}})

(x^{3} + 3 x^{2} - 2 ln (x))^{^{'}}

\int_{1}^{2} \frac{- 9 ln ( x )}{x ^{2}} d x

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

x \to 0 lim (x^{\frac{3}{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