Let f(x)=ax^(2)+bx + c, where a in R^(+)...

Let `f(x)=ax^(2)+bx + c`, where `a in R^(+)` and `b^(2)-4ac lt 0`. Area bounded by `y = f(x)`, x-axis and the lines x = 0, x = 1, is equal to :

`(1)/(6)(3f(1)+f(-1)+2f(0))`

`(1)/(12)(5 f(1)+f(-1)+8f(0))`

`(1)/(6)(3f(1)-f(-1)+2f(0))`

`(1)/(12)(5f(1)-f(-1)+8f(0))`

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