Question

using integration find the area of the region bounded by the lines y=2+x, y=2-x and x=2
plz reply as soon as possible

Answer 1

this is the answer for this question dude

Answer 2

Area related question can be solved easily when you plot the graph ,
I plotted graph, given curves
e.g., y = 2 + x , y = 2 - x and x = 2
we can see area inclosed by given curves is shown in figure.
and also it is clear that ,
Area of bounded region = area inclosed by graph y = 2 + x from 0 to 2 - area inclosed by graph y = 2 - x from 0 to 2
e.g., A = $\bold{\int\limits^2_0{(2+x})\,dx-\int\limits^2_0{(2-x)}\,dx}$
= $\bold{\int\limits^2_0{(2+x - 2 + x)}\,dx}$
= $\bold{\int\limits^2_0{(2x)}\,dx}$
=$\bold{2\int\limits^2_0{(x)}\,dx}$
= $\bold{2[\frac{x^2}{2}]^2_0}$
= 4

Hence, area of bounded region is 4 sq unit