Arc Length Between Two Points of a Curve
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- Now that we've tried estimating the length of a curve, we can also find its exact value, this time using calculus: Theorem:\textbf{Theorem:}Theorem: Suppose f(x)f(x)f(x) is a co…
By Steven Kwon, Alex Federspiel, Moor Xu
- Let's say we want to find the arc length of a curve y=f(x)y=f(x)y=f(x) between the points x=ax=ax=a and x=bx=bx=b, given that f(x)f(x)f(x) is continuous on [a,b][a,b][a,b]. Let'…
By Alexander Mason
- The formula for finding the arc length between two points is ∫1+(dy/dx)2 dx\int \sqrt{1+(dy/dx)^2}\ dx∫1+(dy/dx)2 dx If we want to find the arc length of sin(x)\sin(x)sin(x) f…
By Maya Schwartz, Moor Xu, Alex Federspiel