What is the integral of $cos^3x$ from 0 to pi?

Oct 10, 2015

Use trigonometric identities.

$cos^3x = cos^2x cosx = (1-sin^2x)cosx = cosx-sin^2xcosx$

$int cos^3x dx = int cosxdx - int sin^2xcosx dx$

$= sinx - 1/3sin^3x +C$

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What is the integral of cos^3xcos^3x from 0 to pi?