00:01
Alright, there is a question, we say that, we say that i have to find the area of the region bounded by the graphs of the given equations y equal to x plus 2, y equal to x square.
00:20
Before doing anything let us find out point, point or points of intersections of these two curves.
00:26
So, left hand side is the same, so i will be equating right hand side, x square equal to x that means x square minus x minus 2 will be equal to 0, x square plus x minus 2x minus 2 equal to 0, x will be taken as common, so x plus 1 minus 2 to x plus 1 equal to 0, so x plus 1 into x minus 2 equal to 0, so x equal to minus 1 and 2.
01:02
When x equal to minus 1, from here y will be equal to minus 1 plus 2 which is 1 and when x equal to 2, from there y will be 2 plus 2 equal to 4.
01:15
Hence, points of intersections are minus 1 comma 1 and 2 comma 4.
01:25
This is x, this is y, y equal to x plus 2...