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intxcos^2xdx...

`intxcos^2xdx`

Text Solution

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`intxcos^2xdx=intx.(1+cos2x)/2 dx`
=`1/2intxdx+1/2intx.cos2xdx`
=`1/4x^2+1/2{x.(sin2x)/2-1/4int(sin2x)/2dx}`
=`1/4x^2+1/4xsin2x-1/4intsin2xdx`
=`1/4x^2+1/4xsin2x+1/8cos2x+C`
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