Embibe Experts Solutions for Chapter: Applications of Integrals, Exercise 1: ICSE-2020

Draw a rough sketch of the curve $y^2=8x$ and find the area of the region bounded by the curve $y^2=8x$ and the line $x=2$.

Sketch the graph of $y=\left|x+4\right|$. Using integration, find the area of the region bounded by the curve $y=\left|x+4\right|, x=-6$ and $x=0$ .

Draw a rough sketch and find the area bounded by the curve $x^2=y$ and $x+y=2$.

Draw a rough sketch of the curves $y^2=x$ and $y^2=4-3x$ and find the area enclosed between them. [Write the answer in fraction and in $\mathrm{sq}. \mathrm{units}$.]