Question

Find the area of the region bounded by the lines y=x+1, x=0,x=2 and x -axis.

Answer 1

Consider the problem

Given

$y=x+1$

$x=0$

$x=2$

Area bounded by the curve is

$\begin{array}{c}={\int }_0^{2}ydx\\ ={\int }_0^2\left(x+1\right)dx\\ ={{\left(\frac{x^2}{2}+x\right)}_0}^2\\ =\frac{4}{2}+2\\ =4sq.unit\end{array}$