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Evaluate: int(3x^5)/(1+x^(12))dx...

Evaluate: `int(3x^5)/(1+x^(12))dx`

Text Solution

Verified by Experts

Given, `int(3x^5)/(1+x^(12))dx`
Let `x^6=t`
so,`6x^5dx=dt`
Thus,`1/2int(t)/(1+t^(2))dx`
=`1/2tan^(-1)t+c`
=`1/2tan^(-1)x^6+c`
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