00:01
Hello friends, we are given with y equal to x squared minus 1 and y equal to minus x squared plus 7.
00:07
We have to find the intersection point.
00:09
Therefore, we equate both the equation that is x squared minus y equal to minus x squared plus 1.
00:14
After simplifying this term, we get x equal to plus or minus 2.
00:19
Substituting the limits in double integral, that is a equal to area which is a minus 2 to minus 2 to 2 x squared minus 1 to minus x squared plus 7 dy dx.
00:31
Therefore, a equal to integral over minus 2 to 2 minus x squared plus 7 minus x squared plus 1 into dx.
00:38
After simplifying those term, we get minus 2 x squared plus 8.
00:43
After integrating this term, we get minus 2 x cube divided by 3 plus 8x to the limits minus 2 comma 2.
00:50
Substituting the limits, we get 64 by 3 as the area.
00:54
Therefore, the area is 64 by 3...