# Area between a parabola and line?

## Homework Statement

Find the area of the region enclosed by the curves:
2y=sqrt(4x)
y=5 and
2y+3x=7

## Homework Equations

A = integral from a to b of f(x)-g(x) dx

## The Attempt at a Solution

Tried to integrate this with respect to y.
Found the intersection points to be y=2, -14/3
Then did the integral from -14/3 to 2 of (7/3 - 2y/3) - (1/4y^2)
My answer was 1000/81 but this is incorrect.
Also tried integral from -14/3 to 5 of (7/3 - 2y/3) - (1/4y^2)./
My answer was 841/324 but this was also incorrect.

Thanks to anyone who can help explain this to me, I'm so lost :s