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

`int(x+2)/((x^2+3x+3)sqrt(x+1))dx` is equal to `1/3tan^(-1)(x/(sqrt(3(x+1))))` (b) `2/(sqrt(3))tan^(-1)(x/(sqrt(3(x+1))))` `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(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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