Answer to Question #249664 in Calculus for Paeng

Question

Find the area bounded by the given curves, axes and/or lines

y2 = x , y = x

Answer 1

Area enclosed = $\int^1_0 \sqrt{x}. dx-\int^1_0 x.dx\\$

$=[\frac{x^{\frac{3}{2}}}{\frac{3}{2}}-\frac{x^2}{2}]^1_0\\ =[\frac{2}{3}-\frac{1}{2}]-[0-0]\\ =\frac{1}{6}\\$