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int (1+x+sqrt(x+x^2))/(sqrtx+sqrt(1+x)) ...

`int (1+x+sqrt(x+x^2))/(sqrtx+sqrt(1+x)) dx` is equal to

A

`1/2 sqrt1+x+C`

B

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

C

`sqrt(1+x)+C`

D

`2(1+x)3//2 +C`

Text Solution

Verified by Experts

The correct Answer is:
B
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