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Math Help - Integrals

  1. #1
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    Unhappy Integrals

    I have an idea of the concept this problem is trying to ask but I can't quite figure out how to solve it.

    Given that:
    integral from 0 to 3 f(x) dx= integral from 0 to 1 f(x) dx + integral from 2 to 1 f(x)dx + integral from 2 to 3 f(x)dx

    Find integral from 1 to 2 f(x)dx

    I don't really know how to think of it. I know an integral equals area under the curve but can't really see what else i'm missing.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by swimmergirl View Post
    I have an idea of the concept this problem is trying to ask but I can't quite figure out how to solve it.

    Given that:
    integral from 0 to 3 f(x) dx= integral from 0 to 1 f(x) dx + integral from 2 to 1 f(x)dx + integral from 2 to 3 f(x)dx
    are you sure that shouldn't be 1 to 2? maybe not.

    Find integral from 1 to 2 f(x)dx
    Hint: \int_1^2 f(x)~dx = - \int_2^1 f(x)~dx
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  3. #3
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    no original problem is correct. I still can't figure it out.
    Last edited by swimmergirl; March 18th 2009 at 08:54 PM.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by swimmergirl View Post
    no original problem is correct. I still can't figure it out.
    really? what have you tried since you saw my hint?
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  5. #5
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    Hi swimmer girl:
    integral from 0 to 3 f(x) dx= integral from 0 to 1 f(x) dx + integral from 2 to 1 f(x)dx + integral from 2 to 3 f(x)dx

    Find integral from 1 to 2 f(x)dx

    the previous post should have given u a clue on how to solve this:

    0 to 3 f(x)dx - 0 to 1 f(x)dx - 2 to 3 f(x)dx = integral from 2 to 1 f(x)dx

    so the integral from 1 to 2 f(x)dx = -(left hand side of previous equation)

    This should clear things up. I'm new to this forum so im not sure how to use the equation editor.
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