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Math Help - Antiderivative

  1. #1
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    Antiderivative

    f '(t) = 6cos(t) + (sec(t))2






    So far i got f(x) = 6sin(t) + tan(t) + C

    I cant figure out what C equals

    THANKS
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  2. #2
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    Quote Originally Posted by FamousDrumFreak View Post
    f '(t) = 6cos(t) + (sec(t))2






    So far i got f(x) = 6sin(t) + tan(t) + C

    I cant figure out what C equals

    THANKS
    3 = 6sin(pi/3) + tan(pi/3) + C. Solve for C.
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  3. #3
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    I figured it out as a decimal but i am looking for a fraction or something like x - squart of x
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  4. #4
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    Quote Originally Posted by FamousDrumFreak View Post
    I figured it out as a decimal but i am looking for a fraction or something like x - squart of x
    At this level of study you're expected to know that sin(pi/3) = sqrt{3}/2 and tan(pi/3) = sqrt{3}.
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