m0nhawk
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 Apr19 comment Do we have $\sum_{n=1}^\infty 0=0$? Then this is completely different sums. Mar12 comment Sign of a solution for an ODE There is a multiplication by constant in the first one, you can simply hide $\pm$ in there. Oct27 comment generalization of geometric series $\sum_{k=0}^\infty x^{p(k)}$ It's impossible to find for arbitrary polynomial, but for some particular it's possible to find a closed forms. Probably in some elliptic theta functions. Sep14 comment Does the following integral converge: $\int_6^{\infty}\frac{dx}{\sqrt{1+x^2}}$ Why won't you just evaluate it? Sep13 comment Analysis of the function $y=x^{\frac{1}{x}}$ @ClaudeLeibovici I plotted $\Im x^{1/x}$ in Mathematica, it's not zero for $(-1,0)$. Sep13 comment Analysis of the function $y=x^{\frac{1}{x}}$ It's complex valued for $x\le0$. Sep7 comment Recurrence relation of the following sequence? It's simply only the $a_n = \lceil\frac{n}{2}\rceil$. Why even-odd? Aug26 comment How to prove $\int^{\pi/2}_0 \log{\cos{x}} \, \mathrm{d}x = \pi/2 \log{1/2}$ @idm this can be easily integrated by parts. Aug25 comment How do I integrate $\frac{\sqrt{1-k^2\sin^2 x}}{\sin x}$ @Jean-ClaudeArbaut Thanks for this reference. Why'd in physics I didn't encounter the one's, that can be expressed with elementary functions? Aug25 comment How do I integrate $\frac{\sqrt{1-k^2\sin^2 x}}{\sin x}$ @Jean-ClaudeArbaut Maybe, as a physicist mine elliptic integrals are one, two, three complete/incomplete integrals. Aug25 comment How do I integrate $\frac{\sqrt{1-k^2\sin^2 x}}{\sin x}$ @Jean-ClaudeArbaut It's definitely not an elliptic integral. It's actually can be expressed as a primitive functions. Aug24 comment Quotient rule, one sign wrong @Paul Nope, you are correct, and the book answer is wrong. Aug24 comment Why is the result of $-2^2 = -4$ but $(-2)^2 =4$? Because first one is $-(2^2) = -(2\cdot 2) = -4$ and the second one is $(-2)^2 = (-2)\cdot(-2) = 4$? Aug23 comment How to solve this linear system using determinants and using matrices Move the $3y$ to the LHS in that equation... and be happy! Aug22 comment How to find $\int \frac{x^4-4}{x^2\sqrt{4+x^2+x^4}} \,\mathrm dx$ @Aditya and what is the solution in textbook? Aug22 comment What is the concept behind …? Concept of vector calculus. Aug22 comment Integral of inverse of square root of a quadratic @Starior Because there are infinitely, but uncountable set of rings; and sum can only been used on a countable set of rings. Aug21 comment calculus / algebra Is this from some physics textbook? Share the context. Aug21 comment Integral of inverse of square root of a quadratic @Starior Yes. I used $+\delta$. Aug21 comment Integral of inverse of square root of a quadratic @Starior I used the cylindric coordinates, where $z$ is a line of symmetric of this rings.