Question

find the area of the region bounded by the graphs of f(x)=x^3+x^2-6x and g(x)=-x^2+2x

Answer 1

Just do:
1) Set the functions equal to each other and solve for x.
2) Use the x's that you got as your limits on the integral.
3) Pick a test point that is between the two numbers that you got and plug it into each equation.
4) Step 3 will determine which is the higher equation.
5) and then after that put the higher equation minus the lower equation.