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GGuineafowl reacted to PeroK's post in the thread High School Straightforward integration… with
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I'm not sure why you are calculating an indefinite integral. The first rule of mathematical physics is that the first term in a parts... -
GGuineafowl replied to the thread High School Straightforward integration….Tackling: $$\int -ae^{-2x/a} x dx$$ $$-a \int xe^{-2x/a}dx$$ IBP again: ##u=x, \frac {du}{dx}=1, \frac {dv}{dx}=e^{-2x/a}, v=\frac...
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GGuineafowl replied to the thread High School Straightforward integration….Ok, how about simplifying to: $$\int x^2e^{-2x/a}dx$$ Using the integration by parts as above, ie ##u=x^2, \frac {du}{dx}=2x, \frac...
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GSolving the integral for a wave function: $$1 = |C|^2 \int_0^\infty \frac{x^2}{a^2} e^{-2x/a} dx$$ Shunting out the ##\frac{1}{a^2}##...