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Canada-0-CLOTHING कंपनी निर्देशिकाएँ
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कंपनी समाचार :
- Integration of x^2 (xsinx+cosx)^2 - Physics Forums
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{x^{2}}{(xsinx+cosx)^{2}} dx Homework Equations Trigonometric substitutions, integration by parts maybe? The
- What is the Integral of -e^ (-x)? - Physics Forums
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) Participants express that one cannot derive integrals without prior knowledge of their results, highlighting the challenge of integration
- Prove that the integral is equal to ##\pi^2 8## • Physics Forums
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 the integrand is non-negative and continuous over the rectangular domain ( is the root of the numerator), Fubini's Theorem allows us to interchange the order: where and are the closed solutions of the equation Now, computing the closed-form solutions of Equation looks like a lot of work And even WolframAlpha returns a tremendous
- Why the Chern numbers (integral of Chern class) are integers?
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 class and the Euler characteristic
- Integral of differential cross section over solid angle
The discussion revolves around finding the integral of the differential cross section, σ, starting from the expression for dσ dΩ = r²sin²θ and integrating over the solid angle Ω The context is within the subject area of physics, specifically dealing with integrals in the context of scattering theory Exploratory, Mathematical reasoning, Assumption checking Participants discuss the integration process, including the substitution of variables and the manipulation of differential
- Parameterization of a path to find work - Physics Forums
Homework Statement Evaluate the work done by the two-dimensional force F = ( x 2, 2xy ) along each of the following three paths joining the origin to the point P = (1, 1) : The first two are fine The last path is: the path given parametrically as x = t 3, y = t 2 with a parameter t Homework Equations The Attempt at a Solution I think you just take x = t 3, y = t 2 and you plug them into F = ( x 2, 2xy ) and then you set up the integral to find work ∫F⋅ds in terms of t ∫ (t 6,2t 5)⋅
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