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int(x^4)/(1+x^2)dx...

`int(x^4)/(1+x^2)dx`

A

`(x^(3))/(3)+x+tan^(-1)x+C`

B

`(-x^(3))/(3)+x-tan^(-1)x+C`

C

`(-x^(3))/(3)-x+tan^(-1)x+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
On dividing `x^(4)` by `(x^(2)+1)`, we get :
`I=int{(x^(2)-1)+(1)/(x^(2)+1)}dx=(x^(3))/(3)-x+tan^(-1)x+C`.
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