- #1

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## Homework Statement

The question is given just like this:

##\frac{d}{dx}(exp\int_1^x P(s)\ ds)## = ?

I assume they want me to find the derivative of the whole thing.

## Homework Equations

## The Attempt at a Solution

I'm thinking the first step is:

##\frac{d}{dx}(exp\int_1^x P(s)\ ds) = (exp\int_1^x P(s)\ ds)(\frac{d}{dx}\int_1^x P(s)\ ds)##

Unfortunately I don't know how to deal with the derivative of the integral now since the X is one of the limits of integration and not part of the function. I'm not sure I've ever seen a problem like this before.