Application of Integration · Mathematics · Class 12

Sketch the region bounded by the lines $$2 x+y=8, y=2, y=4$$ and the $$y$$-axis. Hence, obtain its area using integration.

Find the area of the following region using integration: $$\left\{(x, y): y^2 \leq 2 x \text { and } y \geq x-4\right\}$$