Please help me with the following questions.

1.

Find the total area of the shaded region. The total area of the shaded region is . . . (Type an exact answer, using it as needed.) 8- y $8 6- y =8 cos x 37/ 2Find the area of the region enclosed by the curves y = x2 - 4x and y = -x2 + 4x. The area of the region enclosed by the curves is (Type an integer or a simplified fraction.)Evaluate the integral. 1 - cos 2t dt 2 3/2 1 - cos 2t dt 2 (Type an exact answer, using it as needed.) 3At/2Use finite approximations to estimate the area under the graph of the function f(x) = 3 -x - 2x between x = - 3 and x = 1 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width a. The area under the graph of f(x) using a lower sum with two rectangles of equal width is . (Type an integer or a decimal.) b. The area under the graph of f(x) using a lower sum with four rectangles of equal width is . (Type an integer or a decimal.) c. The area under the graph of f(x) using an upper sum with two rectangles of equal width is . (Type an integer or a decimal.) d. The area under the graph of f(x) using an upper sum with four rectangles of equal width is . (Type an integer or a decimal.)