Sketch the given region r and then find its area r is the

Question

Sketch the given region R and then find its area:

a) R is the region bounded by the lines y = x, y = -x, and x = 1

b) R is the region bounded by the x axis and the curve

y = -x²+4x-3

c) R is the region bounded by the curve y = x²-2x and the x axis. (Hint: Note that the region is below the x axis)

d) R is the region bounded by the cuves y = x²-2x and y = -x² +4

e) R is the region between the curves y = x²-3x² and y = x²+5x