Question

Let A(x)= intefral from 1 to x of t^2(t-2) dt
a) use fnint to sketch a graph of A(x). label any x- or y-intercepts.
b) use stat menue, five points, and a Quadratic Regression to find a formula for A(x).
c) find A'(x) and A''(x).
d) on what intervals is A concave up? why?