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Choose the correct answer intsqrt(a+x^2)...

Choose the correct answer `intsqrt(a+x^2)dx` is equal to (A) `x/2sqrt(1+x^2)+1/2log|(x+sqrt(x+x^2))|+C` (B) `2/3(1+x^2)^(3/2)+C` (C) `2/3x(1+x^2)^(3/2)+C` (D) `(x^2)/2sqrt(1+x^2)+1/2x^2log|x+sqrt(1+x^2)|+C`

A

`x/2sqrt(1+x^2)+1/2 log |(x+sqrt(1+x^2))|+c`

B

`2/3(1+x^2)^(3/2) +c`

C

`2/3x(1+x^2)^(3/2)+c`

D

`x^2/2sqrt(1+x^2)+1/2x^2 log |x+sqrt(1+x^2)|+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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