# Area between curves

• Oct 4th 2010, 06:52 PM
andrewho93
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?
• Oct 4th 2010, 07:29 PM
tonio
Quote:

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: $y=4-x^2\,,\,y=-3x$

These two funtions intersect at $x=-1,\,4\Longrightarrow$ the wanted area is the integral:

$\int\limits^4_{-1}(4-x^2+3x)dx$ (why? Chech that the parabola lies above the line in the integration interval...)

I got as answer $\frac{125}{6}=20.833333$

Tonio