What is the integral of cos(v)sin(v) ?

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

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integral of cos(v)sin(v)

\int cos (v) sin (v) d v

\frac{sin ^{2} ( v )}{2} + C

Solution steps

\int cos (v) sin (v) d v

Apply u-substitution

: \int u d u

= \int u d u

Apply the Power Rule

: \frac{u ^{2}}{2}

= \frac{u ^{2}}{2}

Substitute back

u = sin (v)

= \frac{sin ^{2} ( v )}{2}

Add a constant to the solution

= \frac{sin ^{2} ( v )}{2} + C

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