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Math Help - Proving a Property of Integrals

  1. #1
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    Proving a Property of Integrals

    I can't seem to prove the following property:

    I want to prove that if f(x)\geq 0 then \int_a^bf(x)dx \geq 0 for all x in [a,b].

    Can anyone help me get started? I know I need to use the definition of an integral.
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  2. #2
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    Remember that the integral of a function f(x) is just the surface under the function. Since the function is always positive the surface will also be positive.
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