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int (x^(3)+2x)/(x^(4)+4)dx=...

`int (x^(3)+2x)/(x^(4)+4)dx=`

A

`1/2 [ tan^(_1)(x^(2)/2)+log((sqrt(x^(4)+4))/(2))]+C`

B

`1/2 tan^(-1)((x^(2)+2)/(2x))+C`

C

`1/2 [tan^(-1)(x^(2)/2)-log((sqrt(x^(4)+4))/(4))]+C`

D

`(1)/(sqrt(2))tan^(-1)((x^(2)+1)/(sqrt(2)x))+C`

Text Solution

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The correct Answer is:
A
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