- #1
infinitylord
- 34
- 1
Note: I am completely self taught. I have only gone as far as Algebra and regular physics in high school. But I took the initiative to teach myself advanced physics and up to multivariable calculus from reading a book on the subject. So I may not be completely informed on everything present. I just need help with my work. Thank you! I'm also not sure how to make the icons appear as though they are over the other.
Okay, I was given a problem and I got through most of it. But there is one part where I'm not completely sure how to do the integration.
2[itex]\int^∞_0[/itex][itex]e^{-3r/2a_0}[/itex][itex]r^2[/itex]dr + λ[itex]\int^∞_0[/itex][itex]e^{-3r/2a_0}[/itex][itex]r^3[/itex]dr=0
I did solve the problem in the end (solving for λ) in a very unorthodox way. But I am curious as to how it should be solved. I consulted a table of integrals and gave a shot at the improper integrals. But ended up with the wrong coefficients but everything else right. I'm curious as to why my coefficients were wrong. In this specific problem, the coefficients are infact negligible, so, again, I got the answer correct. But I would at least like to have the knowledge to do it correctly.
Okay, I was given a problem and I got through most of it. But there is one part where I'm not completely sure how to do the integration.
2[itex]\int^∞_0[/itex][itex]e^{-3r/2a_0}[/itex][itex]r^2[/itex]dr + λ[itex]\int^∞_0[/itex][itex]e^{-3r/2a_0}[/itex][itex]r^3[/itex]dr=0
I did solve the problem in the end (solving for λ) in a very unorthodox way. But I am curious as to how it should be solved. I consulted a table of integrals and gave a shot at the improper integrals. But ended up with the wrong coefficients but everything else right. I'm curious as to why my coefficients were wrong. In this specific problem, the coefficients are infact negligible, so, again, I got the answer correct. But I would at least like to have the knowledge to do it correctly.