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Thread: Finding perimeter of shape made by an equation?

  1. #1 Finding perimeter of shape made by an equation? 
    Forum Freshman
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    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?


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  3. #2  
    Forum Freshman
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    you could use the equation for arc length to calculate the arc length from 0 to 1.


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  4. #3  
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    Quote Originally Posted by CarpeDiem
    you could use the equation for arc length to calculate the arc length from 0 to 1.
    Thanks!
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  5. #4  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    (Assuming you know rudimentary calculus)

    In your question we write d as;



    then solve the integral.
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    "Mathematicians stand on each other's shoulders."- Carl Friedrich Gauss


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  6. #5  
    Forum Radioactive Isotope MagiMaster's Avatar
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    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).
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