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Math Help - find the indefinite integral

  1. #1
    ggw
    ggw is offline
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    find the indefinite integral

    absolute(cost i + sint j + t k)dt


    and second question is: writing: the x and y components of the derivative of the vector-valued function U are posotive at t=to, and the z-component is negative. Discribe the behavior of U at t=to.

    thanks a lot and happy valentine to all of you.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ggw View Post
    absolute(cost i + sint j + t k)dt
    |cos(t)i + sin(t)j + t k| = sqrt{cos^2(t) + sin^2(t) + t^2} = sqrt{t^2 + 1}

    Can you go from there?

    -Dan
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ggw View Post
    the x and y components of the derivative of the vector-valued function U are posotive at t=to, and the z-component is negative. Discribe the behavior of U at t=to.
    Think of this as three problems: describe what happens to EACH component individually.

    -Dan
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