Answer to Question #342422 in Calculus for Jane

Question

Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.

Answer 1

y²-y-6=2y+4

y²-3y-10=0

y1=5

y2=-2

S=$\smallint$_-2 ⁵ ((2y-4)-(y²-y-6)) dy = $\smallint$_-2⁵ 3y-y²+2 dy = 1.5y²-y³/3+2y |_-2⁵ = 343/6

S = 343/6