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Let f(x)=(ax^2+bx+c)/(x^2+1) such that y...

Let `f(x)=(ax^2+bx+c)/(x^2+1)` such that y=-2 is an asymptote of the curve `y=f(x)`. The curve `y=f(x)` is symmetric about Y-axis and its maximum values is 4. Let `h(x)=f(x)-g(x)`,where `f(x)=sin^4 pi x` and `g(x)=log_(e)x`. Let `x_(0),x_(1),x_(2)...x_(n+1)` be the roots of `f(x)=g(x)` in increasing order
Then, the absolute area enclosed by `y=f(x)` and `y=g(x)` is given by

A

`11/8`

B

`8/3`

C

`2`

D

`13/3`

Text Solution

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The correct Answer is:
A
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