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int(xdx)/((x^(2)+9)(x^(2)+16)) =...

`int(xdx)/((x^(2)+9)(x^(2)+16)) =`

A

`1/7(1/3 (tan^(-1))x/3-1/4(tan^(-1))x/4)`

B

`1/14 log ((x^(2)+16)/(x^(2)+9))`

C

`1/14 log [(x^(2)+9)(x^(2)+16)]`

D

`1/14 log ((x^(2)+9)/(x^(2)+16))`

Text Solution

Verified by Experts

The correct Answer is:
D
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