Find The Area Bounded by the given curves. How would I set this up to solve?

x=2, x=5, y=1/x, y=1/x^2

2 answers

Here is what your graph looks like
http://www.wolframalpha.com/input/?i=plot+y%3D1%2Fx,+y%3D1%2Fx%5E2

look at the second diagram in quadrant 1

Between x = 2 and x = 5, which is the higher curve?
So you want
∫ (higher function - lower function) dx from x = 2 to x = 5
A soccer ball is kicked from the ground in an arc defined by the function,h(x) = -2x2 + 8x. What is the height of the ball after 3 seconds?