Embibe Experts Solutions for Chapter: Application of Integrals, Exercise 1: Jharkhand Board-2020

Find the area bounded by the curve $y=\sin x$ between $x=0 \text{and} x=2\mathrm{\pi }$

Find the area of the smaller part of the circle $x^2+y^2=a^2$ cut off by the straight line $x=\frac{a}{\sqrt{2}}$.

Find the area of the region bounded by the parabola $y^2=4x$ and the line $x=3$.

Using integration, find the area of the region bounded by the triangle whose vertices are $(1,0),(2,2)\text{ and }(3,1)$.

Find the area of the smaller region bounded by the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ and the line $\frac{x}{a}+\frac{y}{b}=1$.