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If int(x^(2)+37)/(x^(4)-3x^(2)-28)dx=a l...

If `int(x^(2)+37)/(x^(4)-3x^(2)-28)dx=a log((x-sqrt7)/(x+sqrt7))+b tan^(-1)((x)/(2))+c,` then `(a, b)-=`

A

`((2)/(sqrt7),(2)/(3))`

B

`((sqrt7)/(2),(3)/(2))`

C

`((sqrt7)/(2),(-3)/(2))`

D

`((2)/(sqrt7),(-3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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