Thread: Area between curves

Find the area of the region between the curves x=4-y² and x=-3y

I keep getting 56/3 but that doesnt match any other answer. can someone help me out?

Originally Posted by andrewho93

Find the area of the region between the curves x=4-y² and x=-3y

I keep getting 56/3 but that doesnt match any other answer. can someone help me out?

First, I think it'll be much easier to represent both as functions of x:

These two funtions intersect at the wanted area is the integral:

(why? Chech that the parabola lies above the line in the integration interval...)


I got as answer

Tonio