Thread: Finding perimeter of shape made by an equation?

The equation f(x)=2^x creates a shape with the x-axis by extending lines down from f(0) to the x-axis and from f(1) to the x-axis a line is also drawn between x=0 and x=1. What is the perimeter of the shape created?



Okay, so:











I'm absolutely clueless as to how I should find d. Does anyone have an idea?

you could use the equation for arc length to calculate the arc length from 0 to 1.

Originally Posted by CarpeDiem

you could use the equation for arc length to calculate the arc length from 0 to 1.

Thanks!

(Assuming you know rudimentary calculus)

In your question we write d as;



then solve the integral.

If you don't know calculus, you could try finding the limit of the sum of smaller and smaller pieces of the curve (which is actually where integrals come from in the first place, but the limit might make more sense if you don't know much about integrals yet).