You know those jokes where someone has need for a number like for a WiFi password then they're given an integral so they'd just give up? People like sending me those cause I love math. But today I got a unique one.  $$\int_{-2}^2 \left(x^3\cos \frac{x}{2}\right)\sqrt{4-x^2} \, dx$$  Why is it different? Cause I evaluated it on Desmos and it's equal to $\pi$!  How is that possible? I'm trying to work around it and it's proving tricky. The much I know is if I can separate the square root term as an integral then it'll be the area of a semicircle with radius 2.
I saw this today, I checked in Mathematica and the integral comes out to $\pi$, but I have no idea how to solve it.     FREE Wi-Fi: The Wi-Fi password is the first $10$ digits of the answer.   $$\int_{-2}^2\left(x^3\cos\frac x2+\frac12\right)\sqrt{4-x^2}\ dx$$
Show that $C[a,b]$ is a complete space under the metric $d(f,g)=\sup_{t\in [a,b]}|f(t)-g(t)|$. Winforms issue - Error creating window handle We are seeing this error in a Winform application.  Can anyone help on why you would see this error, and more importantly how to fix it or avoid it from happening.   System.ComponentModel.Win32Exception: Error creating window handle.    at System.Windows.Forms.NativeWindow.CreateHandle(CreateParams cp)    at System.Windows.Forms.Control.CreateHandle()    at System.Windows.Forms.Control.CreateControl(Boolean fIgnoreVisible)    at System.Windows.Forms.Control.CreateControl()    at System.Windows.Forms.Control.OnVisibleChanged(EventArgs e)    at System.Windows.Forms.ButtonBase.OnVisibleChanged(EventArgs e) I'm trying to determine if 1317 and 116 can be written as the sum of three squares?  I have the condition that if it is not of the form $4^{\alpha}(8k+7)$ then it can be written as a sum of three squares, but how do I use this condition to work it out?  Thank you Schedule to open website I'd like to open a website at regular intervals per day, i.e., the browser should open and automatically navigate towards a pre-set URL.  I looked at options like scheduling to open browser, but I can't figure out how to open it with a default URL. (No I do not want to make this my start page)  Any help is appreciated Formatting datetime2 in LaTex to 4th September, 2016 without the current day? I'm currently using  \usepackage[UKenglish]{babel} \usepackage{datetime}   and I'm getting  Sunday 4th September, 2016  with the commands \today or with \newdate{example}{01}{09}{2016} (outside of \begin{document}) and \displaydate{example} inside the document.  How can I reformat this date to not have the name of the day in it (Best would be with using datetime2)? So like 4th September, 2016. With the "th" as a high letter like this:   Full document example:  \documentclass[a4paper, 12pt, DIV=calc, headings=small]{scrreprt} %Used packages \usepackage[UKenglish]{babel} \usepackage[utf8]{luainputenc} \usepackage{datetime}  %Other definitions \pagenumbering{arabic}  \newdate{sample}{31}{01}{2017}   \begin{document} \displaydate{sample}\\ \today \end{document} I cleared all my browser data and visited  and it logged me back in. How?  This happens on Chrome on OS X and Windows 7.  Surely the security concerns outweigh the benefits to the user. What if a family member or friend wants to use my machine? I wouldn't want them logged in as me.  Update  My mistake, I should have said data &#8212; all those checkboxes clicked/checked. I completely cleared everything, yet it still logs me back in.  Update 2  Here's a video to prove it: What is the meaning of the integral of position? Jerk, $j(t)=\dddot x(t)$, acceleration, $a(t)=\ddot x(t)$ and velocity, $v(t)=\dot x(t)$ are derivatives of position, $x(t)$. What is the meaning of the integral of position?  For example, one could write  $$\int x \mathrm{d}t = \int x \frac{\mathrm{d}t}{\mathrm{d}x}\mathrm{d}x = \int x\frac{1}{v} \mathrm{d}x$$  which reminds the equation for . Why aren't search engines indexing my content? This is a general, community wiki  question and answer pair intended to address any questions   concerning the reasons a site or specific site contents do not appear   in search engine results.      If your question was closed as a duplicate of this question and you   feel that the information provided here does not provide a sufficient   answer, please open a discussion on .   My site (or specific pages on my site) is not appearing in search engine results.  Why isn't my content indexed and what can I do about it? What is the electric charge of the Sun and its corona? Should I put a comma before the last item in a list? Should I put a comma before the last item in a list?     I would like crackers, cheese and some soda.   I would like crackers, cheese, and some soda. What are the eigenvalues of $\operatorname{ad}x$? Let $x\in \operatorname{gl}(n,F)$ have $n$ distinct eigenvalues $a_1,\ldots,a_n$ in $F$. Prove that the eigenvalues of $\text{ad }x$ are precisely the $n^2$ scalars $a_i-a_j$ ($1\leq i,j\leq n$), which of course need not be distinct.   So we can represent $x$ by an $n\times n$ matrix $X$. We have $Xv_1=a_1v_1,\ldots, Xv_n=a_nv_n$ for eigenvectors $v_1,\ldots,v_n$.   Now, $\operatorname{ad}x$ takes $y\in \operatorname{gl}(n,F)$ to $xy-yx$. I need to show that some $y$ is taken to a scalar multiple of itself, where that scalar is $a_i-a_j$. What could be that $y$? Missing entry in flagging history I happened to glance upon my flagging history and I realized that there was an entry missing from the spam section in it. I had marked 6 posts as spam, out of which 4 were deemed helpful and 1 was declined. I'm not sure what happened to the remaining 1 entry and why it is missing from the history summary. Here is a snapshot of the spam section of my flagging history.    Is this behavior a  or a ?  Note: I've checked my flagging history completely and there is no spam flag which is still in the active state. Password Reset for Users on a Multisite Subsite I have a multisite network. I want my users to be able to reset their passwords while staying within their subsites. So for example clicking the "lost your password?" link keeps them within their subdomain (subdomain.domain.com/wp-login.php?action=lostpassword) as opposed to taking them to the main site (domain.com/wp-login.php?action=lostpassword).  After they submit the username or email to reset the password, I would like for that email to contain links back to their subdomain and not the main site as is the default functionality.   Prior to the 4.0 update I was able to use this patch  and ultimately this plugin  to get the exact functionality described above. All was great.  However after the update it is no longer working. Asking for assistance in the various places referenced has still not helped solve the problem. Is anyone able to help? My Developer Account cannot be activated because I used a relative's credit card Is there a list of error codes for Minecraft? Similar to  on the bugs in Minecraft, I would like a complete list of what error codes exist in Minecraft and how they occur, as well as how they can be resolved. I want to reinstall Ubuntu, but I also want all information and settings to disappear. So everything looks like the first time I installed it. Is it possible to do so via Terminal? Or what are the steps I should follow? Intuition for uniform continuity of a function on $\mathbb{R}$ I understand the formal definition of uniform continuity of a function, and how it is different from standard continuity.  My question is: Is there an intuitive way to classify a function on $\mathbb{R}$ as being uniformly continuous, just like there is for regular continuity? I mean, that for a "nice" function $f:\mathbb{R} \to \mathbb{R}$, it is usually easy to tell if it is continuous on an interval by looking at or thinking of the graph of the function on the interval, or on all of $\mathbb{R}$. Can I do the same for uniform continuity? Can I tell that a function is uniformly continuous just by what it looks like? Ideally, this intuition would fit with the Heine-Cantor theorem for compact sets on $\mathbb{R}$. Let $f$ be entire and suppose that $\text{Im} f\ge0$. Show that $\text{Im} f$ is constant. How do you show that if $f$ is entire and if $\text{Im} f\ge0$, then $\text{Im} f$ is constant? Is this even true in the first place? Import Large Excel File Is it only red, green and blue that can make up any color through additive mixture? I'm reading about color vision and have some trouble understanding the motivation for why the  was suggested in the first place. The book I'm reading ("Psychgology: The science of mind and behavior") states:     At the beginning of the nineteenth century it was discovered that any colour in the visible spectrum could be produced by some combination of the wavelenghts that corresponds to the colours blue, green and red in what is known as additive color mixture.   From the explanation in the book, it seems like this somehow should be a reason for also supposing that the human retina was composed of cones sensitive to the colors green, red and blue respectively. I guess this would be a valid argument if it was only red, green and blue that, through additive mixture, could make up any color.  Is it only red, green and blue that, through additive mixture, can make up any color?