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Evaluate: int(1+cosx)/((x+sinx)^3)dx...

Evaluate: `int(1+cosx)/((x+sinx)^3)dx`

Text Solution

Verified by Experts

I=`int(1+cosx)/((x+sinx)^3)dx`
=`x+sinx=t`
=`1+cosxdx=dt`
`int dt/t^3`
=`-1/2t^(-2)+c`
=`-1/2(x+sinx)^(-2)+c`
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