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intsqrt(2x^(2)+3x+4)dx...

`intsqrt(2x^(2)+3x+4)dx`

A

`(4x+3)/(8)sqrt(2x^2+3x+4)-(23)/(8sqrt(2))log|(4x+3)/(4)+sqrt(x^2+(3x)/(2)+2)|+c`

B

`(4x+3)/(8)sqrt(2x^2+3x+4)+(23)/(8sqrt(2))log|(4x+3)/(4)+sqrt(x^2+(3x)/(2)+2)|+c`

C

`(4x+3)/(8)sqrt(2x^2+3x+4)-(23)/(16sqrt(2))log|(4x+3)/(4)+sqrt(x^2+(3x)/(2)+2)|+c`

D

`(4x+3)/(8)sqrt(2x^2+3x+4)+(23)/(16sqrt(2))log|(4x+3)/(4)+sqrt(x^2+(3x)/(2)+2)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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