I would like to know how to solve this integral, I have tried and I know the solution. Yet, I am not able at all to work around all the steps to get to the solution. I know this is a particular case, but I do not know how to achieve the right solution. The integral is the following (in case the format in the title does not work).

$$\int^t\_0{se^{d(t-s)} ds}$$

Thanks for the help!!