00:01
Hello everyone.
00:02
We are given a curve y is equal to 4x par 5 plus 17x.
00:07
We need to set up the integral that represents the length of the curve between the points minus 2 comma minus 6122 and 4 .4164.
00:21
So let's proceed to the solution now.
00:24
So we have a graph of the curve to be as such.
00:29
So we see that the point is going to be minus 2 comma minus 162 that will be in the third quadrant right so if i mark minus 2 on the x axis and minus 162 in the y axis i can see that the point is in third quadrant so now we see that 4 .4164 i can plot it in the first quadrant so 4 and 4 ,164 .4 and 4 ,164 .4 .64 .4 .4 .6 so now this i see in the first quadrant.
01:11
So we can write the integral that represents the curve as follows.
01:17
Let's write the integral now.
01:21
We have integral plus the other integral.
01:27
So i can separate the integral at the origin since they are separated in two quadrants.
01:33
So the third quadrant i have to represent it in minus.
01:36
So whatever comes in the left and down, i have to represent it by minus.
01:41
So it starts from the point minus 2 to the origin.
01:46
That is, it is going to be 0.
01:49
Right? so we can write as upper limit as 0...