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## Homework Statement

I(subscript n)=integral (from pi/2 to 0) [sin(x)]^n * [cos(x)]^2.

Show that I (subscript n) = [(n-1)/(n+2)] I(subscript (n-2))

I think ur meant to use integration by parts on it somewhere but i don't know wat to use it on.

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- Thread starter hechnal
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- #1

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I(subscript n)=integral (from pi/2 to 0) [sin(x)]^n * [cos(x)]^2.

Show that I (subscript n) = [(n-1)/(n+2)] I(subscript (n-2))

I think ur meant to use integration by parts on it somewhere but i don't know wat to use it on.

- #2

HallsofIvy

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