find-the-area-of-the-shaded-region-shown-below-which-is-boinded-by-to-functions-f-x-x-2-g-x-2-x-and-the-x-axis-

Question Number 141189 by Eric002 last updated on 16/May/21

f i n d t h e a r e a o f t h e s h a d e d r e g i o n

s h o w n b e l o w w h i c h i s b o i n d e d b y t o f u n c t i o n s

f (x) = x^{2} g (x) = 2 - x a n d t h e x - a x i s

Commented by Eric002 last updated on 16/May/21

Commented by bramlexs22 last updated on 16/May/21

A r e a = \frac{1}{3} . 1.1 + \frac{1}{2} . 1.1 = \frac{5}{6}

Commented by Dwaipayan Shikari last updated on 16/May/21

x^{2} = 2 - x \Rightarrow x = 1, y = 1 (M e e t i n g p o i n t)

\int_{0}^{1} x^{2} d x + \frac{1}{2} . 1 . (2 - 1) = \frac{1}{3} + \frac{1}{2} = \frac{5}{6}