- #1
daw0lf369
- 8
- 0
I'm working on a take home exam in my Calculus 2 class. The exam is completely done except for one problem and I desperately need help. I've put so much time into this one problem that I'm ready to just miss it and take the hit.
Indefinite Integral
∫(e^x)*(arctan(x))dx
I've tried using a couple different substitutions by parts. Using u = arctan(x) results in (e^x)*arctan(x) - ∫(e^x)/(x^2+1) dx I couldn't seem to progress any further on that integral either.
Another attempt used x = tanθ which results in ∫arctan(ln(u))du Once again, I couldn't make any further progress with this integral.
It seems as though the problem was written improperly, but I asked my professor and she said it is correct as written. I would greatly appreciate any and all help you can provide.
Homework Statement
Indefinite Integral
∫(e^x)*(arctan(x))dx
Homework Equations
The Attempt at a Solution
I've tried using a couple different substitutions by parts. Using u = arctan(x) results in (e^x)*arctan(x) - ∫(e^x)/(x^2+1) dx I couldn't seem to progress any further on that integral either.
Another attempt used x = tanθ which results in ∫arctan(ln(u))du Once again, I couldn't make any further progress with this integral.
It seems as though the problem was written improperly, but I asked my professor and she said it is correct as written. I would greatly appreciate any and all help you can provide.