Respuesta :
So the value of the line integral given point scale is [tex]\frac{15}{16}[/tex] -4cos6-6 .
To evaluate the line integral X signed by ideas oversee. Where C is the line segment from 2 to 36
First we find the vector determined by the two points
So ,
36 -2 = 34
Starting point is 2.
The segment can be para militarized as vitally equal to 2+3T+40 =3T 2+40 .
They belonging to close interval 0- one. Next we find the derivative of the Para militarism action y¹T= 34.
This implies the strength of y¹T = [tex]\sqrt{3^{2}+4^{2} }[/tex]
= 5
Finally we calculate the integral X signed by ideas oversee which is equal to treaty sign 2+ 40×DT Over 0- one.
Now report 2+ 40 equal to you. So implies 4DT is equal to DU and when T is equal to zero.
20=U
So next this integral becomes 15×2 to 6 Juju -2 x 4.
Comes out to be 15 x 16. 0-2. Sign your deal. Now applying integration by parts.
We have 15 x 16. 0-2 cause you plus integration of causal deal Limit 2- 6.
Now we have 15/16. On applying the limits -4 cos six plus sign 6- sign too.
So therefore final answer becomes [tex]\frac{15}{16}[/tex] -4cos6-6 .
To learn more about Line integral visit: brainly.com/question/29850528
#SPJ4
