Question

Find the arc length of the graph of y = x from x = 0 to x = 3 using calculus.

Answer 1

∫ √[1 + (dx/dy)^2] dx (from a to b)
first, take the derivative of x and plug it into dx/dy, square that
then, add 1 and square root it
last, take the antiderivative

Answer 2

and of course, plug in the numbers