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

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

A

`(1)/(sqrt(3))cot^(-1)((xsqrt(3))/(sqrt(x+1)))+C`

B

`(1)/(sqrt(3))tan^(-1)[(x)/(sqrt3(x+1))]+C`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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