SOLUTION: Evalute integral sin^2 (x) * cos^2 (x) dx from bounds 0 to pi/3 by using : cos^2 (x) = 1 - sin^2 (x)

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Question 1191333: Evalute integral sin^2 (x) * cos^2 (x) dx from bounds 0 to pi/3
by using : cos^2 (x) = 1 - sin^2 (x)
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Before we get to the calculus, here are some useful power reduction trig identities.




If we were to square both sides of the second identity, then we have:



















which will be useful later.

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Now to rewrite the integral using those trig identities and cos^2 (x) = 1 - sin^2 (x)











I'll let you finish up from here. You'll need to use u-substitution at some parts.