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## nexis Group Title Evaluate the following integral: 2 years ago 2 years ago

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1. nexis

$\int\limits_{}^{}\sin^24xcos^24xdx$ (If possible, say which identities/formulas you are using)

2. calculusfunctions

Are those exponents 3 or 2? It's hard to tell with the equation editor?

3. Edutopia

they are 2's

4. calculusfunctions

The power of sine looks like a 2 but the power of cosine looks like a 3.

5. Stacey

|dw:1351222321036:dw|

6. ivanmlerner

I'd use the formula that says that 2sin(x)cos(x)=sin(2x) Then the integrand gets sin^2(8x)/4 and now that is easy to calculate by parts