Embibe Experts Solutions for Chapter: Application of Definite Integrals, Exercise 1: Exercise 1

The area bounded by the curves $\sqrt{x}+\sqrt{y}=1$ and $x+y=1$, is

The area bounded by $y=2-\left|2-x\right|$ and $y=\frac{3}{\left|x\right|}$ is

The area bounded by the curves $y=x{e}^x, y=x{e}^{-x}$ and the line $x=1$ (in sq. units) is

The area enclosed by the parabola $y=3\left(1-x^2\right)$ and the $X$ -axis is

The area bounded by the curves $y=\cos x$ and $y=\sin x$ and ordinates $x=0$ and $x=\frac{\pi }{2}$ is

The line $y=x+1$ divides the area between the curves $y=\cos x, \left[-\frac{\mathrm{\pi }}{2},\frac{\mathrm{\pi }}{2}\right]$ and the $x$-axis into two regions which are in the ratio

The area enclosed by the curves $y=\cos x, y=1+\sin 2x$ and $x=\frac{3\pi }{2}$ as $x$ varies from $0$ to $\frac{3\pi }{2},$ is - 

The area of the region bounded by $y=|x-1|$ and $y=1$ is equal to