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Math Help - Area Under Curve

  1. #1
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    Area Under Curve

    Find \int_{1}^{5} f(x)dx if \int_{0}^{1} f(x)dx = -2.6 and \int_{0}^{5} f(x)dx = 1.5

    I know for this question we do:
    \int_{0}^{5} f(x)dx = \int_{0}^{1} f(x)dx + \int_{1}^{5} f(x)dx

    Which rearranged turns into:

    \int_{1}^{5} f(x)dx = \int_{0}^{5} f(x)dx - \int_{0}^{1} f(x)dx

    But I do not know what I am to do...
    Thanks : )
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  2. #2
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    You set everything up great. Now just plug in the numbers for the integrals and you can get your final answer.
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  3. #3
    Senior Member vincisonfire's Avatar
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    You got it right. Just take the values they gave you and calculate.
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  4. #4
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    (1.5) - (-2.6) ?

    so
    1.5 + 2.6 = 4.1
    is this correct?
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  5. #5
    Senior Member vincisonfire's Avatar
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    Perfect
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