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Math Help - derivative wrt y of the integral of a function in t dt

  1. #1
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    derivative wrt y of the integral of a function in t dt

    derivative wrt y of the integral a function in t dt (evaluated from one function in y to another function in y)

    d/dy of the integral from cos^2y to sin^2y of 1/t dt

    What does this mean?

    My interpretation:
    "The derivative with respect to y of the integral from cos squared y to sin squared y of 1/t for a small change in t."

    Is that what this says?
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  2. #2
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    Re: derivative wrt y of the integral of a function in t dt

    Yes you are right
    that is what i too feel
    derivative wrt y of the integral of a function in t dt-01-may-13.png
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  3. #3
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    Re: derivative wrt y of the integral of a function in t dt

    Quote Originally Posted by kingsolomonsgrave View Post
    derivative wrt y of the integral a function in t dt (evaluated from one function in y to another function in y)

    d/dy of the integral from cos^2y to sin^2y of 1/t dt

    What does this mean?

    My interpretation:
    "The derivative with respect to y of the integral from cos squared y to sin squared y of 1/t for a small change in t."

    Is that what this says?
    Learning some simple LaTeX makes our lives so much easier. Is this what you're trying to evaluate? \displaystyle \begin{align*} \frac{d}{dy} \int_{\cos^2{(y)}}^{\sin^2{(y)}}{\frac{1}{t}\,dt} \end{align*}
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    Re: derivative wrt y of the integral of a function in t dt

    yes! I usually use latex online editor but last night the site was down so I just typed in the long version. I suppose I would behoove me to learn the code itself.
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