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Math Help - Calculus

  1. #1
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    Calculus

    The average value of cos x on the interval [3, 5] is

    A) (sin 5 sin 3)/8

    B) (sin 5 sin 3)/2

    C) (sin 3 sin 5)/2

    D) (sin 3 + sin 5)/2

    E) (sin 3 + sin 5)/8
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  2. #2
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    Quote Originally Posted by frozenflames
    The average value of cos x on the interval [3, 5] is

    A) (sin 5 sin 3)/8

    B) (sin 5 sin 3)/2

    C) (sin 3 sin 5)/2

    D) (sin 3 + sin 5)/2

    E) (sin 3 + sin 5)/8
    First find the definite integral,
    \int^5_3\cos xdx
    Which is by the fundamental theorem,
    \sin 5+\sin 3
    Now divide by the length of the interval which is,
    5-(-3)=8
    Thus, the answer is,
    (\sin 5+\sin 3)/8
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