Evaluate int (x+(1)/(x))^(3) dx, x gt 0...

Evaluate `int (x+(1)/(x))^(3) dx, x gt 0`

A

(a) `1/4(x+1/x)^(4)+c`

B

(b) `x^(4)/4+(3x^(2))/2+3logx-1/(2x^(2))+c`

C

(c) `x^(4)/4+(3x^(2))/2+3logx+1/x^(2)+c`

D

(d) `4(x+1/x)^(4)+c`

Verified by Experts

The correct Answer is:

B

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