Class 12

Math

Calculus

Application of Integrals

Find the area of the region bounded by the two parabolas $y=x_{2}$and $y_{2}=x$.

**Solution: **Solution: $y_{1}=f(x)=x_{2}$

$y_{2}=g(x)=x $

area=$∫_{0}g(x)−f(x)dx$

=$∫_{0}(x_{2}−x )dx$

=$(−3x_{3} +23 x_{23} )_{0}$

=$32 −31 $

=$31 unit_{2}$