Given that n is a positive integer, show that /20sinn x dx = /20cosn x dxby using a

Chapter 5, Problem 55

(choose chapter or problem)

Given that n is a positive integer, show that

$\int_{0}^{\pi / 2} \sin ^{n} x d x=\int_{0}^{\pi / 2} \cos ^{n} x d x$

Equation Transcription:

$\int\limits_{0}^{\pi{}/2}\ {\ {sin}^{n}{\ x}^{\ }dx\ =\int\limits_{0}^{\pi{}/2}\ \ {cos}^{n}{\ x}^{\ }dx}^{\ }$

Text Transcription:

integral_0^pi/2sin^n x dx = integral_0^pi/2 cos^n x dx

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