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Integral Calculus

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28 Oct 2007 13:15:37 IST

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TRIGNOMETRIC INTEGRATION

None

integrate following w.r.t. x

x²

^{_______________________}

(x sinx + cosx)²

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venkat v.t

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Joined: 7 Aug 2007

Posts: 244

28 Oct 2007 14:12:44 IST

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d/dx(xsinx+cosx)=x cosx

I=Integral of (x/cosx) (x cosx/[x sinx+cosx]²) dx

Integrating byparts

I =(x/Cosx) (-1/x sinx+cosx) + Integral of (xsinx+cosx)/cos²x. 1/xsinx+cosx

and proceed .we get

(Sinx-x cosX)/(x sinx+cos x)+C

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