Solve the below:
Q: Find the total length of the polygonal line segments joining the points (xi, f(xi),i=0, 1,...,n, zwhere a= x0,x1,... xn=b is a regular partition of (a,b). use the indicated values for n
(1) f(x) = sqrt x, a=0,b=4
(a) n=2, (b) n=4
(2) f(x) = sin^2 x, a=0, b= 2pi
(a) n=2 (b) n=4 (c) n=8
(3) Use a y integration to find the length of the segment of the line y= 2x+3 =o between y=1 and y=3 check by the distance formula.
Find the length of the indicated curve.
(1) y = 2/3(x^2 +1) ^ 3/2 between x=1 and x=2
(2) y = (x^4 +3) /(6x) between x=1 and x=3
(3) 30xy^3- y^8 =15 between y= 1 and y =3