Problem calculating surface integral over a cylinder
Nov 10, 2024 · Problem: Find the surface integral I =∬S 2x2ydydz −y2dzdx + 4xz2dxdy I = ∬ S 2 x 2 y d y d z y 2 d z d x + 4 x z 2 d x d y, where S S is curved surface of the cylinder y2 +z2 = 9 y 2 + z 2 = …
What do the symbols d/dx and dy/dx mean? - Mathematics Stack …
May 2, 2015 · Okay this may sound stupid but I need a little help... What do d dx d d x and dy dx d y d x mean? I need a thorough explanation. Thanks.
calculus - dx (t)/dx vs. dx/dx - Mathematics Stack Exchange
Oct 7, 2015 · Think about dx dx d x d x as d dx(x) d d x (x) which means the derivative of the function x x (taking x x to be the variable--from the denominator of the fraction). Whereas dx(t) dx d x (t) d x …
Compute $\\int_{-\\infty}^{\\infty}\\int_{-\\infty}^{\\infty}e^{-(x^2 ...
Apr 2, 2017 · First of all ypur computation is false as some r r is missing before sin 2θ sin 2 θ. For your problem, you should diagonalize the quadratic form x2 + (x − y)2 +y2 x 2 + (x y) 2 + y 2 in some …
Show that a real symmetric matrix is always diagonalizable
Aug 31, 2020 · The proof with the spectral theorem is trivial: the spectral theorem tells you that every symmetric matrix is diagonalizable (more specifically, orthogonally diagonalizable). As you say in …
What is the integral of $e^{\\cos x}$ - Mathematics Stack Exchange
Oct 12, 2017 · This integral is one I can't solve. I have been trying to do it for the last two days, but can't get success. I can't do it by parts because the new integral thus formed will be even more difficult to …
sequences and series - Mathematics Stack Exchange
Dec 30, 2025 · A triangle is divided by two cevians into four regions of integer areas A, B, C, D A, B, C, D. What are the possible values of the area of the triangle (A + B + C + D ...
How to change order of integration in a double integral?
How would you go about changing the order of integration in a function say ;
$\\int_{-\\infty}^{\\infty}\\frac{\\sin(x)}{x}\\,\\mathrm{d}x$: "non ...
Jan 10, 2026 · I first encountered the integral $$\int_ {-\infty}^ {\infty}\frac {\sin (x)} {x}\,\mathrm {d}x$$ while I was first learning integration in high school a few years ago. After trying and failing to evaluat...
Analysis of the equation $\\frac{x^{y^{y^{\\dots}}}}{y^{x^{x^{ \\dots ...
5 days ago · Here are theoretical applications While this specific equation is largely a theoretical construct in the realm of tetration (as you mentioned) and functional equations (as far as I …