00:01
Hi, in this question, given that the curves are y equals x square minus 11 and y equals 3x plus 7.
00:12
We have to find the area between these two curves.
00:15
So, first we have to equate these two equations.
00:18
So, we get x square minus 11 equals 3x plus 7.
00:22
On further simplifying, we get x square minus 11 minus 3x minus 7 equals 0.
00:29
On adding the constants, then we get x square minus 3x minus 18 equals 0.
00:36
On simplifying this, then we get x minus 6 into x plus 3 equals 0.
00:42
Therefore, x equals 6 and x equals minus 3.
00:46
So, here we can conclude that x varies from minus 3 to 6.
00:57
And here, this is the line y equals 3x plus 7.
01:01
And this is the curve y equals x square minus 11.
01:06
This is the area between these two curves...