Question

Consider the function
$f(x)=x^3-8 x^2+20 x-13$
Area enclosed by $y=f(x)$ and the co-ordinate axes is

• A. $\frac{65}{12}$
• B. $\frac{13}{12}$
• C. $\frac{71}{12}$
• D. none

Answer 1

Answer: (A)

$A=\left|\int_0^1 f(x) d x\right|=\frac{65}{12}$