Question

The area bounded by the curve $y=\frac{1}{x^2},$ x-axis and the line $x=1$ and $x=2$ is:

• A. $\frac{3}{2}$
• B. $\frac{1}{2}$
• C. $2$
• D. $1$

Answer 1

The correct option is B $\frac{1}{2}$

$\begin{array}{c}{\int }_1^2\frac{1}{x^2}dx={\left[-\frac{1}{x}\right]}_1^2\\ =-\frac{1}{2}+1\\ =\frac{1}{2}\end{array}$