00:01
In this question, y equals to 17 sin x and y equals to 17 cos x.
00:10
So, first of all find point of intersection.
00:16
So, from here we will be finding out point of intersection.
00:21
This implies 17 sin x equals to 17 cos x.
00:27
Sin x 17 and 17 will be cancelled out.
00:31
This implies 10 x equals to 1.
00:37
So, from here we get x equals to 10 inverse 1.
00:42
So, from here we get the point of intersection at x equals to pi by 4.
00:50
Now, we will be calculating the area.
00:54
So, area of the shaded region is given by area equals to integration from 0 to pi by 4 17 sin x dx plus integration from pi by 4 to pi by 2 pi by 2 17 cos x dx...