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

1. ## 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?

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

Yes you are right
that is what i too feel

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

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

4. ## 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.