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Evaluate the following integrals. int...

Evaluate the following integrals.
`int(2x+3)/(x^(2)+x+1)dx`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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