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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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