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int(x+2)/((x^(2)+3x+3)sqrt(x+1))dx is eq...

`int(x+2)/((x^(2)+3x+3)sqrt(x+1))dx` is equal to a)`(1)/(sqrt(3))tan^(-1)((x)/(sqrt(3)(x+1)))` b)`(2)/(sqrt(3))tan^(-1)((x)/(sqrt(3(x+1))))` c)`(2)/(sqrt(3))tan^(-1)((x)/(sqrt(x+1)))` d)None of these

A

`(1)/(sqrt(3))tan^(-1)((x)/(sqrt(3)(x+1)))`

B

`(2)/(sqrt(3))tan^(-1)((x)/(sqrt(3(x+1))))`

C

`(2)/(sqrt(3))tan^(-1)((x)/(sqrt(x+1)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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