Solveeit Logo

Question

Mathematics Question on Area under Simple Curves

The area enclosed by the curves y2+4x=4y^2+4 x=4 and y2x=2y-2 x=2 is :

A

233\frac{23}{3}

B

223\frac{22}{3}

C

9

D

253\frac{25}{3}

Answer

9

Explanation

Solution

The area enclosed by the curves y2+4 x=4 and y-2 x=2 is:

y2+4x=4
y2=−4(x−1)
A=−4∫2​(44−y2​−2y−2​)dy=9