Embibe Experts Solutions for Exercise 3: EXERCISE

If $I=\int \frac{1}{\sqrt{x}}dx,$ then the value of $I$ is

If $I=\int {\sec }^{2}2xdx,$ then the value of $I$ is

${\int }_2^3\frac{1}{x}dx$

If $I={\int }_0^2{x}^{2}dx,$ then the value of $I$ is

Evaluate the integral, $x={\int }_0^{\pi /\omega }(1-\sin \omega t)dt$

${\int }_0^{\pi /2}\sin x dx$

Using integration, find the area enclosed by the curve $y=x-x^2$ and positive $x$-axis from $x=0$ to $x=1$

Consider the parabola $y=x^2$

The shaded area is