# Find the Integral sec(2x)tan(2x)

Let . Then , so . Rewrite using and .
Let . Find .
Differentiate .
Differentiate using the chain rule, which states that is where and .
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 .
Move to the left of .
Differentiate using the Power Rule which states that is where .
Multiply by .
Rewrite the problem using and .
Since is constant with respect to , move out of the integral.
Replace all occurrences of with .
Find the Integral sec(2x)tan(2x)