Evaluate integral of csc(2x)cot(2x) with respect to x

Math
Let . Then , so . Rewrite using and .
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Let . Find .
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Differentiate .
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Since is constant with respect to , the derivative of with respect to is .
Multiply by .
Differentiate using the Power Rule which states that is where .
Multiply by .
Reorder the factors of .
Rewrite the problem using and .
Move the negative in front of the fraction.
Since is constant with respect to , move out of the integral.
Replace all occurrences of with .
Evaluate integral of csc(2x)cot(2x) with respect to x

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