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in Mathematics by (123k points)
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)`

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