Two ways of finding the length of a curve:
1.If the curve is represented by a function of form
y=f(x)
Perform the following operation:
(I will use words as I cannot enter symbols in here)
Integrate between Xfinal and Xinitial the following
function with respect to x:
(Square Root of (1 + f'(x)^2))dx
2.If the curve is represented by a parametric equation
like y=y(s), x=x(s)
Integrate between sfinal and sinitial the following function
with respect to s:
(Square Root of (y'(s)^2 + x'(s)^2))ds
Performing that operation will give you the length of
a line.
1.If the curve is represented by a function of form
y=f(x)
Perform the following operation:
(I will use words as I cannot enter symbols in here)
Integrate between Xfinal and Xinitial the following
function with respect to x:
(Square Root of (1 + f'(x)^2))dx
2.If the curve is represented by a parametric equation
like y=y(s), x=x(s)
Integrate between sfinal and sinitial the following function
with respect to s:
(Square Root of (y'(s)^2 + x'(s)^2))ds
Performing that operation will give you the length of
a line.