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int (3x-4)/(sqrt(2x^(2)+4x+5))dx=...

`int (3x-4)/(sqrt(2x^(2)+4x+5))dx=`

A

`(3)/(2)sqrt(2x^(2)+4x+5)+(7)/(sqrt(2))sinh^(-1)((sqrt(2)(x+1))/(sqrt(3)))-c`

B

`(3)/(2)sqrt(2x^(2)-4x-5)+(7)/(sqrt(2))sinh^(-1)((sqrt(2)(x+1))/(sqrt(3)))-c`

C

`(3)/(2)sqrt(2x^(2)+4x+5)-(7)/(sqrt(2))sinh^(-1)((sqrt(2)(x-1))/(sqrt(3)))-c`

D

`(3)/(2)sqrt(2x^(2)+4x+5)-(7)/(sqrt(2))sinh^(-1)((sqrt(2)(x+1))/(sqrt(3)))-c`

Text Solution

Verified by Experts

The correct Answer is:
D
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