I am having problem with integration of this(adsbygoogle = window.adsbygoogle || []).push({});

∫sin^3πt

This is what i tried

∫(1-cos^2πt)sinπt

∫sinπt - sinπt(cos^2πt)

∫sinπt - ∫sinπt(cos^2πt)

... and got stuck

OR

∫(1-cos^2πt)sinπt

cos^2t=(1/2)(1+cos2t) so cos^2πt=(1/2)(1+cos2π)

∫((1-(1/2)(1+cos2π))sinπt

∫1/2(sinπt) - (1/2)(cos2π)(sinπt)

and still got stuck

I am not even sure this is the right method to solve that.

I know it should be (cos^3πt)/(3π) - (cosπt)/π but cannot get there

Any help is welcome

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# Homework Help: Integration of sine problem

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