Sep 21, 2004 · A later reply discusses the integral of 2x.e^ (x^2) and questions whether the integral of f' (x)e^f (x) is always e^f (x), regardless of the nature of f' (x). Parti

Aug 6, 2009 · The discussion revolves around the integration of the function \ (\int\frac {1} {x^2 + 1} \ dx\), which falls under the subject area of calculus, specifically focusi

Aug 15, 2011 · The discussion centers around the integral of the function 1/ (1+x²), exploring various methods of finding its antiderivative, particularly through substitution te

Jun 27, 2025 · Prove ∫ 0 2 / 4 1 x x 2 arcsin (x 1) (x 1 + x 9 16 x) 1 2 x d x = π 2 8 Let The representation integral of is Plugging identity above into with , we obtain Since

Mar 29, 2014 · Hi everyone, First of all, this isn't really a "homework", I've completed my calculus course and I'm just curious about this problem. Homework Statement \\int\\frac

Feb 23, 2012 · The discussion revolves around the integral of the function 1/z over the unit circle, questioning why it does not equal zero despite intuitive reasoning that sugges

Jul 5, 2012 · Do you know what the integral of \sin^2x is? If you don't, use the cosine double angle formula \cos 2x = \cos^2x - \sin^2x and the Pythagorean identity \sin^2x + \co

Oct 6, 2015 · The discussion revolves around the integral of trigonometric functions, specifically the product of cosines with different arguments, over a specified interval. Part

Nov 20, 2018 · The integral of the function x²/ (e^x - 1) from xg to infinity does not have a closed form. However, if xg is greater than 1, it can be approximated by the integra

Oct 29, 2016 · One participant provides an example involving the tangent bundle of the 2-sphere to illustrate how the integral of the curvature form relates to the first Chern cla