Evaluate the indefinite integral. (use c for the constant of integration.) sin(2x) 24 + cos2(x) dx

Using substitution, the result of the integral is given by:

We want to calculate the following integral:

The following identity is used to simplify the cosine squared:

Replacing into the integral:

The substitution is:

Hence:

Since , the result as a function of x is:

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Possibly you refer to the integral,

Recall the double angle identity,

Then the integral is equivalent to

Let so that . Then the integral becomes

We can rewrite this to try to get it in a form that more resembles the original integrand.

where the constant term got absorbed into the general constant .

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step-by-step explanation:

two? xd

step-by-step explanation: