# Find the Antiderivative 2sin(x)cos(x)

Write the polynomial as a function of .
The function can be found by finding the indefinite integral of the derivative .
Set up the integral to solve.
Since is constant with respect to , move out of the integral.
Let . Then , so . Rewrite using and .
Let . Find .
Differentiate .
The derivative of with respect to is .
Rewrite the problem using and .
By the Power Rule, the integral of with respect to is .
Simplify.
Simplify.
Simplify.
Combine and .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Replace all occurrences of with .
The answer is the antiderivative of the function .
Find the Antiderivative 2sin(x)cos(x)

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