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

Answer»

SOLUTION :`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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