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

`int (1)/(sqrt(2 + 3x^(2))) ` dx =

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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