Area of the region bounded by the curves y = 3x– x2, y = x2... | MATH - AREA BOUNDED BY REGION, VOLUME AND SURFACE AREA OF SOLIDS OF REVOLUTION | SolveeIt | Solveeit

Today, August 18

Question

Area of the region bounded by the curves

y = 3x– x², y = x² – x is

A

$\frac { 4 } { 3 }$

B

$\frac { 8 } { 3 }$

C

$\frac { 1 } { 2 }$

D

$\frac { 1 } { 3 }$

Answer

$\frac { 8 } { 3 }$

Explanation

Solution

A = $\left| \int _ { 0 } ^ { 2 } \left( 3 x - x ^ { 2 } - x ^ { 2 } + x \right) d x \right|$