Calculus
posted by Scott .
Suppose f(x)=2x^2x^3 and g(x)= sin(pix/2).
a) What is the exact value of the integration from 0 to 2[f(x)g(x). Find numerical approximation of this value. What does the value of this integral tell you about the areas of the regions beteen the two graph

I am uncertain of your questions about the three things you are asked to do.
The first is easy
The second you have to decide on the numerical model, I would use .1 divisions of x.
On the third, compare the value of the integral of 2(f(x)g(x)) to the value of INT sin(PIx/2). That will be revealing.
Repost if you have a specific question.