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

Evaluate integral of sin(x)^2 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 . Then , so . Rewrite using and .
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Let . Find .
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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 .
Clarify the answer.
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Combine and .
Use the distributive law.
Combine and .
First, multiply .
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Multiply and .
First, multiply by .
Shift terms.
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