# Evaluate integral of sin(x) to the power of two with respect to x

Use the half-angle formula to Should be rewritten as .

Since is constant with respect to , move out of the integral.

Split the single integral into multiple integrals.

Since is constant with respect to , move out of the integral.

Since is constant with respect to , move out of the integral.

Let . Find .

Rewrite.

First, divide by .

Rewrite the problem using and .

Add and .

Since is constant with respect to , move out of the integral.

The integral of with respect to is .

Simplify.

Replace all occurrences of with .

Combine and .

Use the distributive law.

Combine and .

First, multiply .

Multiply and .

First, multiply by .

Shift terms.

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