Question

find the area bounded by the parabola y^2=4x and y^2=4 - 4x​

Answer 1

Answer:

Intersection point of the curves y2=4x and y=x

are (0,0) and (1,2)

Area of the the shaded region is given by:

A=∫02y−4y2

⇒A=[2y2]02−[12y3]02

⇒A=2−32=34 sq. units