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int (1)/((x+2)sqrt(x+1))dx=...

`int (1)/((x+2)sqrt(x+1))dx=`

A

`(2)/(5) (x + 1)^((3)/(2)) (3x + 8) + c `

B

`(2)/(15) (x + 1)^((3)/(2)) (3x + 8) + c`

C

`(2)/(5) (x + 1)^((3)/(2)) (3x - 8) + c`

D

`(2)/(15) (x + 1)^((3)/(2)) (3x - 8) + c`

Text Solution

Verified by Experts

The correct Answer is:
B
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