Integration

[old flame]

i was trying to solve a physics q where i encountered this integration....how do i procced with it

[untold crystal]

1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
2. Wait patiently for a helper to come along.
3. Once someone helps you, say thank you and close the thread with:

   +close
   

4. Feel free to nominate the person for helper of the week in #helper-nominations
5. Do not ping the mods, unless someone is breaking the rules.
6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[lilac helm]

Wolfram 😎

[old flame]

ohhhhh

how do i understand this tho

and how do i put limits in this 💀

[wild fractal]

Complex analysis may be possible here using the fact that cos(t)=(e^it+ e^-it)/2

and considering z=e^it and by choosing a good circle and function to integrate on that contour

Hmmm well that works if the power in the denominator is a whole number

[old flame]

so 💀 idk i just wanted to know from the derivation if the answer of that integration leads to a zero or not

idk its kind of purely physics related q

a charged ring when kept.....the field at a point in the plane of the ring at distance of aR (a<1) from center of the ring

[wild fractal]

Oh does a approach 0 ?

[old flame]

if a does aproach zero then the field too will aproach zero

but if its 0.5 thats like what i was going for

[wild fractal]

If you integrate from 0 to 2pi it’s possible to evaluate it using more advanced integration techniques like some countour integration but here there isn’t an elementary solution I think if a approaches 0 the integral is 0 though

[old flame]

yeah if a approachs zero its evident(from physics idk how from maths)....but yeah ig for genral its still out my rach