I just started Calculus II and have been given the following problem:
Find the area inside the curves: $$y = 5 - 2x^2\\y = 3x^2 \\ x = -4 \\x = 4$$
I graphed the two curves on my calculator to get a rough idea of the problem but noticed that the x values aren't where the two curves cross.
I'm wondering if I should integrate on 4,-4 or if I should calculate where they cross and use those values as the minimum and maximum x values.
Thanks in advance
edit: The beggining of the problem was just about sketching the graph and drawing approximating rectangles; however the part that I was confused on was worded as such:
y = 5 - 2x^2, y = 3x^2, x = -4, x = 4
find the area S of the region