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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)))) + 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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