I'm working on corrections for a test and would please like some help.

Problem Five

Write both x and y integrals to compute the surface area of the figure generated by rotating y = f(x) around y - 1 for a ? x ? b. You will need to use the inverse of y = f(x), or x - f^-1 (y). Also note that f(x) ? f(c), so that f is strictly decreasing on a ? x ? c and strictly increasing on c ? x ? b.

Problem Five (5 pts each): Write both 3 and y integrals to compute the surface area of the gure generated by rotating 3; = f(:1:) around 9 : 1 for a g a: g b. You will need to use the inverse of y = x), or :1: = f'1(y). Also note that x) 2 e), so that f is strictly decreasing on a S a: _<_ c and strictly increasing on s m b. x id a o v iiheid d>