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intdx/(x(x^4+1))...

`intdx/(x(x^4+1))`

Text Solution

Verified by Experts

`I=intdx/(x(x^4+1))=intdx/(x^5(1+1/x^4))`
Let `1+1/x^4=t`
`-4/x^5dx=dt`
`therefore I=-1/4intdt/t`
=`-1/4Inabst+c`
=`-1/4Inabs(1+1/x^4)+c`
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