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Math Help - Integrals

  1. #1
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    Integrals

    Let f(x) be given by the function whose graph is shown..(see attachment)

    Calculate 2 f(x) dx. Justify your answer
    ****** -2



    Calculate 8 f(x) dx. Justify your answer
    ******* 0


    Note: Integral sign is supposed to be near 2, -2 and 8,0..can't figure this out..please help!
    Attached Thumbnails Attached Thumbnails Integrals-graph.bmp  
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  2. #2
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    Quote Originally Posted by Jgirl689 View Post
    Let f(x) be given by the function whose graph is shown..(see attachment)

    Calculate 2 f(x) dx. Justify your answer
    ****** -2



    Calculate 8 f(x) dx. Justify your answer
    ******* 0


    Note: Integral sign is supposed to be near 2, -2 and 8,0..can't figure this out..please help!
    where is the part of the graph that contains x = -2 ?

    \int_0^8 f(x) \, dx = \int_0^4 f(x) \, dx + \int_4^8 f(x) \, dx = 6 + (-4) = 2

    do you understand that a definite integral is nothing more than the signed area between a curve and the x-axis?
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  3. #3
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    It's over there...not exactly perfect, but close...I don't get what this is trying to ask..
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  4. #4
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    Quote Originally Posted by Jgirl689 View Post
    It's over there...not exactly perfect, but close...I don't get what this is trying to ask..
    if you do not understand what a definite integral means, then you need to do some research to learn.

    start here ...

    https://scs.imsa.edu/wiki/index.php/...of_Integration
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  5. #5
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    I'll get back to this one..
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  6. #6
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    Quote Originally Posted by Jgirl689 View Post
    Let f(x) be given by the function whose graph is shown..(see attachment)

    Calculate 2 f(x) dx. Justify your answer
    ****** -2



    Calculate 8 f(x) dx. Justify your answer
    ******* 0


    Note: Integral sign is supposed to be near 2, -2 and 8,0..can't figure this out..please help!
    Look, I think the point is to understand what "area under the curve" means. This is not complicated at all. If you want some more help. Holler.
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