Evaluate the following definite integral...

Evaluate the following definite integral: `int_0^1 1/(2x^2+x+1)dx`

A

`1/sqrt(7) tan ^(-1) (sqrt(7)/6)`

B

`1/sqrt(7) tan ^(-1) (sqrt(7)/3)`

C

`2/sqrt(7) tan ^(-1) (sqrt(7)/6)`

D

`2/sqrt(7) tan ^(-1) (sqrt(7)/3)`

Verified by Experts

The correct Answer is:

D

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