Question

Find the area of the region bounded by the graphs of the equations
2y^2 = x + 4 and x = y^2

Answer 1

Explanation:

`2y^2 = x + 4 \rightarrow x = 2y^2 -4`

`x=y^2`

intersection points

`2y^2 - 4 = y^2`

`y^2 =4`

`y = \pm 2 \rightarrow (4, -2)~ and~ (4, 2)`

`\int\limits^2_(-2) (y^2-(2y^2-4)} \, dy`

You finish it by yourself