- #1
╔(σ_σ)╝
- 839
- 2
I was doing my differential equations homework. I had to solve y'' -4y = (e^(2x))/x.
While doing this I ran into an integral[tex]\int\frac{e^{4x}}{4x}dx[/tex]. I tried integrating my times but I couldn't; my guess is that this cannot be integrated in terms of elementary functions but I'm not sure.
Is there a theorem or Algorithm for knowing if a function is integrable in terms of elementary functions or not ?
If so, can someone tell me the theorem ?
And in my case is my function integrable in a finite number of elementary functions ?
While doing this I ran into an integral[tex]\int\frac{e^{4x}}{4x}dx[/tex]. I tried integrating my times but I couldn't; my guess is that this cannot be integrated in terms of elementary functions but I'm not sure.
Is there a theorem or Algorithm for knowing if a function is integrable in terms of elementary functions or not ?
If so, can someone tell me the theorem ?
And in my case is my function integrable in a finite number of elementary functions ?