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Math Help - area between 2 functions

  1. #1
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    area between 2 functions

    i havent taken calculus for a few years now and i need step by step on 1 problem i was assigned

    1.) i need to find the area between these 2 functions
    ---------------------------------------------------------
    f(x) = cosx
    g(x) = 2-cosx 0 <= x <= 2(pi)
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  2. #2
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    You won't get step by step here I'm afraid, but the first thing to do would be to graph the functions, see which points on the domain \displaystyle f(x) > g(x), which points on the domain \displaystyle g(x) > f(x).

    Then, the Area is \displaystyle \int_a^b{f(x) - g(x)\,dx} (if \displaystyle f(x) > g(x))
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  3. #3
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    found my problem....calculator was on degrees and not radians
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    MHF Contributor chisigma's Avatar
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    Quote Originally Posted by maybnxtseasn View Post
    i havent taken calculus for a few years now and i need step by step on 1 problem i was assigned

    1.) i need to find the area between these 2 functions
    ---------------------------------------------------------
    f(x) = cosx
    g(x) = 2-cosx 0 <= x <= 2(pi)
    With simple 'geometrical' considerations You can find that the area between the figures is...

    \displaystyle A= 2 \int_{0}^{2 \pi} (1-\cos x)\ dx (1)

    ... the solution of which is immediate...

    Kind regards

    \chi \sigma
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  5. #5
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    Not if your calculator is set to degrees rather than radians!
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