Area bounded by f(x) = $x^3/3$ - $x^2$ +a and the straight line x=0, x=2 and the x axis is minimum. Find a
This is the screen shot of the function when a=0.6.
Scrolling the value of "a" from 0 to 9, I am finding the function to have least value between 0.6 to 0.7...How to prove this mathematically?