Let f(x) is continuous function as shown in figure. If the area bounded by the curve y=f(x), y=x√x and line segment AB is equal to area bounded by y=f(x), y-axis and line segment AC and ∫10f(x)dx=13 and f(14)=ab (where a and b have no common factors) then value of ⌊a/b⌋ is (where ⌊⌋ denotes greatest integer function)

Let f(x) is continuous function as shown in figure. If the area bounde

1.	Let f(x) is continuous function as shown in figure. If the area bounded by the curve y=f(x), y=x√x and line segment AB is equal to area bounded by y=f(x), y-axis and line segment AC and ∫10f(x)dx=13 and f(14)=ab (where a and b have no common factors) then value of ⌊a/b⌋ is (where ⌊⌋ denotes greatest integer function)
Answer» Let f(x) is continuous function as shown in figure. If the area bounded by the curve $y = f (x)$ , $y = x \sqrt{x}$ and line segment AB is equal to area bounded by $y = f (x)$ , y-axis and line segment AC and $\int_{0}^{1} f (x) d x = \frac{1}{3}$ and $f (\frac{1}{4}) = \frac{a}{b}$ (where a and b have no common factors) then value of $⌊ a / b ⌋$ is (where $⌊ ⌋$ denotes greatest integer function)