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"If " int x(In(x+sqrt(1+x^(2))))/(sqrt(1...

`"If " int x(In(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx=asqrt(1+x^(2))In(x+sqrt(1+x^(2)))+bx+c,` then

A

`sqrt(1+x^(2))"ln"x+sqrt(1+x^(2))-x+C`

B

`x/2."ln"^(2)x+sqrt(1+x^(2))-x/sqrt(1-x^(2))+C`

C

`x/2."ln"^(2)x+sqrt(1+x^(2))+x/sqrt(1+x^(2))+C`

D

`sqrt(1+x^(2))"ln"x+sqrt(1+x^(2))x+C`

Text Solution

Verified by Experts

The correct Answer is:
a
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