Question

Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.

Please help!!

Answer 1

Hello,

in order to simplify, i have taken the inverses functions

Explanation:

`\int\limits^(1)/(2) _(-1) {(-2x^2-x+1)} \, dx \\\\=[(-2x^3)/(3) -(x^2)/(2) +x]^(1)/(2) _(-1)\\\\\\=(-2-3+12)/(24) -(-5)/(6) \\\\\boxed{=(9)/(8) =1.25}\\`