Hi guys, I have a question about whether it's valid to integrate both sides of an equation. The question is asking about the relationship between two functions such that . We're supposed to express it terms of and . So after doing some work, I got
Now I'd like to integrate both sides to get something like
which I can then exponentiate to get an expression for . My question is, is this valid? Are my limits of integration correct? Would I be better off just writing
and just keep it all in terms of functions?