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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Re: derivative wrt y of the integral of a function in t dt

Yes you are right

that is what i too feel

Attachment 28210

Re: derivative wrt y of the integral of a function in t dt

Quote:

Originally Posted by

**kingsolomonsgrave** 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? $\displaystyle \displaystyle \begin{align*} \frac{d}{dy} \int_{\cos^2{(y)}}^{\sin^2{(y)}}{\frac{1}{t}\,dt} \end{align*}$

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.