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Evaluate: inte^(3logx)(x^4+1)^(-1)\ dx...

Evaluate: `inte^(3logx)(x^4+1)^(-1)\ dx`

A

`e^(3log x)+C`

B

`(1)/(4)log(x^(4)+1)+C`

C

`log(x^(4)+1)+C`

D

`(1)/(2)log(x^(4)+1)+C`

Text Solution

Verified by Experts

The correct Answer is:
B
`inte^(3logx)(x^(4)+1)^(-1)dx`
`=int(x^(3))/(1+x^(4))dx=(1)/(4)log(x^(4)+1)+C`
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