anonymous
  • anonymous
Evaluate the following integral:
OCW Scholar - Single Variable Calculus
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\int\limits_{}^{}\sin^24xcos^24xdx\] (If possible, say which identities/formulas you are using)
calculusfunctions
  • calculusfunctions
Are those exponents 3 or 2? It's hard to tell with the equation editor?
anonymous
  • anonymous
they are 2's

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calculusfunctions
  • calculusfunctions
The power of sine looks like a 2 but the power of cosine looks like a 3.
Stacey
  • Stacey
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anonymous
  • anonymous
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

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