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int([x+sqrt(a^(2)+x^(2))]^(n))/sqrt(a^(2...

`int([x+sqrt(a^(2)+x^(2))]^(n))/sqrt(a^(2)+x^(2))dx(n ne0)=`

A

`(1)/(n+1)(x+sqrt(a^(2)+x^(2)))^(n+1)+c`

B

`(1)/(n*(x+ sqrt(a^(2)+x^(2)))^(n))+c`

C

`(x+sqrt(a^(2)+x^(2)))^(n)+c`

D

`(1)/(n)(x+sqrt(a^(2)+x^(2)))^(n)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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