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

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

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integral of (sin^2(x))/(tan(x))

\int \frac{sin ^{2} ( x )}{tan ( x )} d x

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

Solution steps

\int \frac{sin ^{2} ( x )}{tan ( x )} d x

Rewrite using trig identities

= \int sin (x) cos (x) d x

Apply u-substitution

= \int u d u

Apply the Power Rule

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

Substitute back

u = sin (x)

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

Add a constant to the solution

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

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