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int(1)/((4+x^(2))^(5//2))dx=...

`int(1)/((4+x^(2))^(5//2))dx=`

A

`(x)/(16sqrt(4+x^(2)))-(x^(2))/(48(4+x^(2))^(3//2))+c`

B

`(x)/(16sqrt(4+x^(2)))-(x^(3))/(48(4+x^(2))^(3//2))+c`

C

`(x)/(16sqrt(4+x^(2)))+(x^(3))/(48(4+x^(2))^(3//2))+c`

D

`(x)/(16sqrt(4+x^(2)))-(x^(3))/(48(4-x^(2))^(3//2))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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