Possible Duplicate: Explain $\\iint \\mathrm dx\\mathrm dy = \\iint r \\mathrm d\\alpha\\mathrm dr$ I'm reading the proof of Gaussian integration. When we change to polar coordinates, why do we get an "

Apr 16, 2015 · What you wrote for In I n makes no sense because x x is undefined. The integration by parts does not give that. If you have an indefinite integral, it gives an indefinite integral. If you have a …

Nov 5, 2013 · Show that the left side is the Fourier series of the right side on an appropriate interval.

I made up some integrals to do for fun, and I had a real problem with this one. I've since found out that there's no solution in terms of elementary functions, but when I attempt to integrate it, I...

I am a 12th grade student, and I am afraid that in realistic terms this question might not even make sense because of the infinities that have to be dealt with. However, in my attempt to calculate ...

Feb 13, 2016 · Let $ (X,d)$ be a metric space with $S$ a non-empty subset of $X$. For $x\in X$ we define the distance $D$ between $x$ and $S$ as $D (x,S)=\inf\ {d (x,y)|y\in S ...

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 …

Apr 8, 2013 · I am having a difficult time with the following question. Any help will be much appreciated. Let A A be an n × n n × n real matrix such that AT = A A T = A. We call such matrices “symmetric.” …

In this equation, 1 + log(x) 1 + log (x) is the derivative of the function inside the exponential g = exp(x log(x)) g = exp (x log (x)), and the 1 on the right is the coefficient of our "monomial" g g. To solve this …

The statement is imprecise: eigenvectors corresponding to distinct eigenvalues of a symmetric matrix must be orthogonal to each other. Eigenvectors corresponding to the same eigenvalue need not be …