Question

Find area enclosed by a given curves
y=2x-x^2, y=2x-4

Answer 1

first of all find their pt of intersection it is here (2,0) (-2,8) and then proceed

Answer 2

how do you get that pt of intersection?

Answer 3

set both equations equal to each other then solve for x. X=2 and x=-2.

Answer 4

then use any equation and solve for y. (2,0) and (-2,-8)

Answer 5

ic, then from here I will use integral from -8 to 0 with equation 2x-x^2 to find the area right?

Answer 6

no, use \[\int\limits_{a}^{b} f(x)-g(x) dx \] if you use this form your limits are from [-2,2]

Answer 7

f(x)= 2x-x^2 and g(x) =2x-4 a=-2 and b=2

Answer 8

If you can graph this you can see that f(x) is above g(x).

Answer 9

thanks ant man