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  • Electric Field of a Uniform Ring of Charge • Physics Forums
    Some suggest that the integral of charge elements across the ring sums to the total charge, while others discuss the implications of using definite integrals versus indefinite integrals in physics problems The discussion is ongoing, with various perspectives on the use of integration limits and constants being shared
  • Ideal Gas Equation and Polytropic Constant • Physics Forums
    The original poster attempts to derive the work done using the integral of pressure and volume, while questioning the validity of substituting different forms of the ideal gas equation Participants raise concerns about the interpretation of the variable "n" in different contexts and the implications for volume calculations
  • Can poles on the contour still be used with the residue theorem?
    The discussion revolves around the application of the residue theorem to integrals of the form \ (\int_0^ {2 \pi} f (\cos {\theta},\sin {\theta}) d\theta\), particularly when poles of the integrand lie on the contour of integration Participants explore whether it is valid to indent around these poles and how to handle the contributions from them One participant expresses concern that poles
  • Calculating the Integral of (cos x)^2: Possible or Impossible?
    One participant inquires about the possibility of calculating the integral of (cos x)^2 and mentions attempts with substitutions and trigonometric rules Another participant suggests using the double angle formula to express cos^2 x in terms of cos (2x), implying this could simplify the integral
  • Why integrating sin^2(wt) gives the half-period? - Physics Forums
    In an exercise with included solution I can't understand how integrating sin^2(ωt) gives T(period) 2 \\intsin^2(ωt)dt = Period 2 I posted the whole problem below, because I had more doubts, but understood them typing up the problem I appreciate any help [SIZE="2"]YOU CAN





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