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Let f:R rarr R be a function as f(x)=(...

Let `f:R rarr R` be a function as
`f(x)=(x-1)(x+2)(x-3)(x-6)-100`. If `g(x)` is a polynomial of degree `le 3` such that `int (g(x))/(f(x))dx` does not contain any logarithm function and `g(-2)=10`. Then
`int (g(x))/(f(x))dx`, equals

A

`tan^(-1)((x-2)/(2))+c`

B

`tan^(-1)((x-1)/(1))+c`

C

`tan^(-1)(x)+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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