Question

Find the area enclosed by the given curves:
(a) y=2x-x^2 , y=2x-4
(b) y=x , y=x^2

Answer 1

\[dA=dx dy\]

Answer 2

the answer is 32/3 for question a but i just dont know how to do it. can you please help me?

Answer 3

try to draw a small differential rectangle on the graph

Answer 4

vertical or horizontal.

Answer 5

ok if i draw two verticle lines, it will be x= -2 and x=2

Answer 6

no no

so, for an infinitesimally small area element.
dA = height * dx

so, what is the height?