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Math Help - Definite Integral Property

  1. #1
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    Definite Integral Property

    Hi all! Is the following always true for all integrable functions f(x) and g(x):

    INT (a to b) ( f(x) + g(x) ) dx = INT (a to b) f(x) dx + INT (a to b) g(x) dx?

    Thanks.
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Yes!
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  3. #3
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    Quote Originally Posted by Also sprach Zarathustra View Post
    Yes!
    Thanks bro. One more question? How do I post using Latex.

    Is there a thread that teahes Latex. Thanks again.
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  4. #4
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    http://www.mathhelpforum.com/math-help/latex-help/ has two stickies that should have mostly everything you need from LaTeX in this forum!

    Good luck.
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  5. #5
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    Yes!

    Integration is linear: \displaystyle \int_{a}^{b}\bigg\{{p}f(x)+{q}g(x)\bigg\}\;{dx} =  \int_{a}^{b}{p}f(x)\;{dx}+\int_{a}^{b}{q}g(x)\;{dx  } =  p\int_{a}^{b}f(x)\;{dx}+q\int_{a}^{b}g(x)\;{dx}
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