Math Help - Help with area bounded by the curve

1. Help with area bounded by the curve

My ideas are not working on this problem, help would be much appreciated:

Find the area bounded by the curve y=6+4x-x^2 and the chord joining (-2,-6) to (4,6)

2. Originally Posted by gtgamer140@yahoo.com
My ideas are not working on this problem, help would be much appreciated:

Find the area bounded by the curve y=6+4x-x^2 and the chord joining (-2,-6) to (4,6)
equation of the chord is $y = 2x-2$

$A = \int_{-2}^4 (6+4x-x^2) - (2x-2) \, dx$