Finding the area between two curves using integration[br][br]You can enter any function you like for f(x) and g(x)

Question 1[br]a) Find the area enclosed by [math]f(x) = -x^2 + 2*x + 2[/math] and [math]g(x) = 2 - x[/math][br]b) Find the area on the interval [-1, 3] [br][br]Question 2[br]a) Find the area enclosed by the x-axis and [math]f(x) = 3*cos(2*x)[/math] on the interval [-pi/4, pi/2][br][br]Question 3[br]a) Find the area enclosed by the functions [math]f(x) = 3 / (x + 2)[/math] and [math]g(x) = x*(x + 3)*(x - 2)[/math][br][br][i]Add points at the intersections of f(x) and g(x) to find appropriate interval[/i]