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Thread: Integration Question

  1. #1
    Senior Member Stroodle's Avatar
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    Integration Question

    Hi,

    I'd like to know how to go about solving the following types of questions:

    Find \int_{0}^{3}f(3x)dx if \int_{0}^{9}f(x)dx=5

    Thanks for your help.
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Quote Originally Posted by Stroodle View Post
    Hi,

    I'd like to know how to go about solving the following types of questions:

    Find \int_{0}^{3}f(3x)dx if \int_{0}^{9}f(x)dx=5

    Thanks for your help.
    Make the u sub u=3x \implies du=3dx and note that when

    x=0 \iff u=0 \text{ and } x=3 \iff u=9 are your new limits of integration.
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