Question

The area bounded by the line $y=x+2$ and $x=-1$ and $x=1$ is

• A. $8$
• B. $4$
• C. $16$
• D. $2$

Answer 1

The correct option is B $4$


Area enclosed
$=\underset{-1}{\overset{1}{\int }}x+2dx={[\frac{x^2}{2}+2x]}_{-1}^1=\frac{1-1}{2}+2\times 2=4$