What is the area of the region enclosed between the curve y² = 2x and the straight line y = x?

What is the area of the region bounded by | x | < 5, y = 0 and y = 8 ?

What is the area of one of the loops between the curve y = c sin x and X-axis?

For the following three (03) items:
Consider the function f(x) = x|x|

What is the area bounded by the curve f(x) the x-axis and the lines x = - 2 and x = 1