Recent content by Frostbytez

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    What is the Integral of Riemann's Sum with Square Roots?

    Homework Statement Convert the Riemann's Sum to an integral: (1/50) * [(sqrt(1/50)) + (sqrt(2/50)) + (sqrt(3/50)) ... + (sqrt(50/50))] Homework Equations The Attempt at a Solution (1/50) times Integral (upper limit 1 and lower limit 0) of sqrt(x) dx Is my solution correct?
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    Integral: Evaluate x^3 sin (t^2) dt

    I think they want the derivative not to evaluate the actual integral. Can I use the second fundamental theorem then?
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    Integral: Evaluate x^3 sin (t^2) dt

    It's AP Calculus AB.
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    Integral: Evaluate x^3 sin (t^2) dt

    what do you mean by double integral?
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    Integral: Evaluate x^3 sin (t^2) dt

    Homework Statement Evaluate the integral (upper limit x^3 and lower limit x) sin (t^2) dt Homework Equations The Attempt at a Solution I tried using the second fundamental theorem to do: 3x^2 sin (x^6) - sin (x^2). I'm not sure if this is right though.
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    Undergrad Question about voltage difference?

    Why do the greatest voltage and the direction of electric field lines correlate with one another? Is there a mathematical proof for this?