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The value of int(x dx)/((x+3)sqrt(x+1) ...

The value of `int(x dx)/((x+3)sqrt(x+1)` is (where , c is the constant of integration )

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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