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

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

A

`(1)/(2)log|2x^2+3x-1|+(3)/(2sqrt(17))log|(4x+3-sqrt(17))/(4x+3+sqrt(17))|+c`

B

`(1)/(2)log|2x^2+3x-1|-(3)/(2sqrt(17))log|(4x+3-sqrt(17))/(4x+3+sqrt(17))|+c`

C

`(1)/(2)log|2x^2+3x-1|+(3)/(sqrt(17))log|(4x+3-sqrt(17))/(4x+3+sqrt(17))|+c`

D

`(1)/(2)log|2x^2+3x-1|-(3)/(sqrt(17))log|(4x+3-sqrt(17))/(4x+3+sqrt(17))|+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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