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Math Help - Integrals (Continued)

  1. #1
    Del
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    Integrals (Continued)

    Let .

    Find -7.

    and ?


    I found the first part equal to -7, but I can't figure out the last part, please help!
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Del View Post
    Let .

    Find -7.

    and ?


    I found the first part equal to -7, but I can't figure out the last part, please help!
    \int_{-3}^{-4.5} ( 6f(x) - 8 )~dx = \int_{-3}^{-4.5} 6f(x)~dx +  \int_{-3}^{-4.5}(- 8 )~dx

    = 6 \int_{-3}^{-4.5} f(x)~dx -  \int_{-3}^{-4.5} 8 ~dx

    Can you finish this?

    -Dan
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  3. #3
    Del
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    I still can't find the right answer, I would think it to be 42.
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by topsquark View Post
    \int_{-3}^{-4.5} ( 6f(x) - 8 )~dx = \int_{-3}^{-4.5} 6f(x)~dx +  \int_{-3}^{-4.5}(- 8 )~dx

    = 6 \int_{-3}^{-4.5} f(x)~dx -  \int_{-3}^{-4.5} 8 ~dx

    Can you finish this?

    -Dan
    = 6 \int_{-3}^{-4.5} f(x)~dx -  \int_{-3}^{-4.5} 8 ~dx

    = 6 \cdot -(-7) -  8 \int_{-3}^{-4.5} dx

    = 6 \cdot -(-7) -  (-36 - -24)

    = 42 - -12 = 54

    -Dan
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