PeroK's latest activity

I’ve also seen it written: $$\int fg’ \,dx = fg - \int f’g \,dx$$ Maybe you could preface with ‘f and g are functions of x’ and save...

After the proposed u-substitution, the partial fractions step is trivial. In any case, it must be much simpler to do the u-substitution...

:welcome:

What you've written isn't right at all. I understand what you are trying to do. I just don't see the point of making it look like a...

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.