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Math Help - vector calculus

  1. #1
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    vector calculus

    ∫a.da dt
    dt

    if a(2)=2i-j+2k
    a(3)= 4i-2j+3k

    the limits on the intergral should be 3 and 2 and it should be da/dt

    aprently the answer is 10 but i cant see how to do it
    help appreciated thanks
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  2. #2
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    a.da/dt dt
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by smile! View Post
    ∫a.da dt
    dt

    if a(2)=2i-j+2k
    a(3)= 4i-2j+3k

    the limits on the intergral should be 3 and 2 and it should be da/dt

    aprently the answer is 10 but i cant see how to do it
    help appreciated thanks
    it is a substitution problem in disguise

    make a substitution, u = a

    the result follows

    Hint: differentiating implicitly we find that \frac {du}{dt} = \frac {da}{dt}
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