Find the area of the region enclosed by the curves y=x2−4x and y=−x2+6x

.
Area between Curve:

We use definite integral to find the bounded area between two functions or curves. If y1
and y2

are two curve equations, then the following formula can be used to find the bounded area between two curves.

A=b∫a|y2−y1|dx

Here, a
and b are the upper and lower limits (intersecting value of x).