PeroK's latest activity

PS I don't understand why parts isn't taught this way. I never really got the point of that weird "uv" thing!

Parts is really the inverse product rule. Start with the product rule for differentiation: $$\frac{d}{dx}\big (f(x)g(x)\big ) =...

I thought the comment about initial terms vanishing was a maths/physics in joke, but there it is made real. Your method is a lot...

Integration by parts is valid for a definite integral. That allows you in this case to simplify the integral to a known standard form...

The equation I posted can be shown by induction on ##n##. What you stumbled on is an interesting idea for how to generalise the...

Stripping away the ##\lambda##, researching examples of the type: $$\int_0^\infty u^n e^{-u} du$$ I found that this is the gamma...

I see. I assumed the wrong sign must have crept in during the difficult integration bit, not the easy final bit. Putting my water wings...

:welcome:

I am interested in astrophotography and scientific topics. English is not my native language.

It depends on what you mean by "observe". Most of Science 'observations' involve only our direct observation of a reading on an...

Of the four users, only Bill has any authority on this site. I guess the mentors will make a decision when they see your post.

Using the bounds on the definite integral is important in these cases, as it simplifies things considerably. For example, you could try...

All three terms have minus signs there, when you expand it out.

What you posted in post #7 is consistent with the integral calculator answer. It looks like you got a minus sign confused in the final...

Why do you think that's wrong?