Find the area bounded by the parabola x=8+2y-y^2 the y axis and the lines y=-1 and y=3?

bounded-parabola

#1

Find the area bounded by the parabola x=8+2y-y^2 the y axis and the lines y=-1 and y=3?

Answer:

30.66666… This is simply a tricky way to phrase the integral from -1 to 3 of 8 + 2x -x^2 from x = -1 to x = 3, which is a very straightforward anti differentiation problem.