Value of $ \int\frac{\sec x}{\sqrt{3+\tan x}}dx$ Finding value of  $\displaystyle \int\frac{\sec x}{\sqrt{3+\tan x}}dx$   Try: Let $\displaystyle I = \int \frac{\sec x}{\sqrt{3+\tan x}}dx,$ Put $3+\tan x = t^2$  and $\sec^2 xdx =2tdt$  So $\displaystyle I = 2\int \frac{1}{\sqrt{t^4-6t^2+10}}dt$  could some help me how to solve it, Thanks
Evaluate the integral $\int \frac{\sec x}{\sqrt{3+\tan x}}dx$ Evaluate the following integral.$$\int \frac{\sec x}{\sqrt{3+\tan x}}dx$$  On putting $t=\tan x$ I am getting $$\int\frac{1}{\sqrt{(t^2+1)(t+3)}}dt$$.  How should i proceed from here.
How can I handle the warning of file_get_contents() function in PHP? Are threads implemented as processes on Linux? I'm going through , Advanced Linux Programming by Mark Mitchell, Jeffrey Oldham, and Alex Samuel. It's from 2001, so a bit old. But I find it quite good anyhow.  However, I got to a point when it diverges from what my Linux produces in the shell output. On page 92 (116 in the viewer), the chapter 4.5 GNU/Linux Thread Implementation begins with the paragraph containing this statement:     The implementation of POSIX threads on GNU/Linux differs from the   thread implementation on many other UNIX-like systems in an important   way: on GNU/Linux, threads are implemented as processes.   This seems like a key point and is later illustrated with a C code. The output in the book is:  main thread pid is 14608 child thread pid is 14610   And in my Ubuntu 16.04 it is:  main thread pid is 3615 child thread pid is 3615   ps output supports this.  I guess something must have changed between 2001 and now.  The next subchapter on the next page, 4.5.1 Signal Handling, builds up on the previous statement:     The behavior of the interaction between signals and threads varies   from one UNIX-like system to another. In GNU/Linux, the behavior is   dictated by the fact that threads are implemented as processes.   And it looks like this will be even more important later on in the book. Could someone explain what's going on here?  I've seen this one , but it doesn't help much. I'm confused.  This is the C code:  #include &lt;pthread.h&gt; #include &lt;stdio.h&gt; #include &lt;unistd.h&gt;  void* thread_function (void* arg) {     fprintf (stderr, "child thread pid is %d\n", (int) getpid ());     /* Spin forever. */     while (1);     return NULL; }  int main () {     pthread_t thread;     fprintf (stderr, "main thread pid is %d\n", (int) getpid ());     pthread_create (&amp;thread, NULL, &amp;thread_function, NULL);     /* Spin forever. */     while (1);     return 0; } Calling a method in java and returning beer cost Recently I decided to use only Ubuntu and there is no Windows in my laptop. When I turn on my laptop the GRUB menu is showing but I don't need to choose OS anymore.   How can I remove or hide this? And after removing this how could I access to recovery mode? Correct way of mounting a Windows share I mounted a Windows share to my Ubuntu 11.10 system via adding the following line to the /etc/fstab:  //serveraddr/sharedfolder /mnt/foldername/ smbfs credentials=/home/myname/.smbpasswd 0 0  using the .  But there's a problem with the permissions. The owner of the mount folder is root. I can not create any folders or files in the mounted point is I don't become the root. Even I can not change the ownership to my default user via   sudo chown -R myname .  I googled and saw that it might stem from the fact that Windows file formats (fat32/ntfs) can not save ownership. But when I connect to the same location via samba as   smb://serveraddr/sharedfolder  by providing my credentials, I have the privileges to write without being the root.  How can I make it to let me write to the mounted folder? Is fractional scaling ( ) available in 18.04 LTS yet? I am waiting until this is available before I install. JSF 2.1 ViewScopedBean @PreDestroy method is not called Temporarily change language for terminal messages/warnings/errors Messages in my terminal are displayed using Russian language by default, which is my native one.  For just a moment I want them to be in English (eg. to paste in forums), then switch back to the default language.  How can I do the switch and switch back using bash? Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$ I know that $\mathbb Z[\sqrt{7}]$ is a UFD, and I can write the equation $(2 + \sqrt{7})(3 - 2\sqrt{7}) = (5 - 2\sqrt{7})(18 + 7\sqrt{7}) $. So clearly these are not all irreducibles. How do I determine which of these aren't irreducible? How do I factor those into irreducibles?  It seems difficult when dealing with $\mathbb Z [\sqrt{d}] $ with $d$ positive, since the norm map isn't as nice (it's not always positive).  Thanks I want that my monitor turns off when I am inactive for a while, but I do not want that I am prompted for a password when I revoke my pc. In Ubuntu 16.04 it was possible to disable the lock but still enable the screensaver as explained .  In Ubuntu 18.04 I entered the following in terminal:  dconf-editor   and disabled ubuntu-lock-on-suspend:    However, since I made this change, my monitor never suspends anymore. I tried restart but it didn't help.  Any ideas how I can disable lock but still enable suspend mode? Backslash escaping in code regions in comments I've noticed that in comments, when you create `code region` with backticks, the backslash will still work as an escape character within that region (but it should not, IMHO).  To clarify:   In comments, `\\` will be rendered as \, but it should be rendered as \\ In the post body itself, `\\` will be rendered as \\ (i.e., correctly)   This is especially confusing when you enter regular expressions into a comment, since backslash-escaping is very common there, and confusion increases if you are dealing with a regex that is double-escaped for representation in a string.   At some point you lose track how many backslashes you must make so the comment renders correctly, or you don't notice fast enough (or at all) and the comment contains wrong code where the same markup in a question or answer would come out as perfectly correct.   It's just that comments can't be corrected anymore after the grace period, leaving you with the choice of either deleting the comment, thus crippling the conversation, or engaging in a trial-and-error game of writing another comment with even more backslashes to explain the issue.  My question is two-fold:   Will this error be corrected? If yes, existing comments should probably be searched and "fixed" by a routine that tries to do the right thing (this is probably somewhere between hard and impossible) Or, can I rest assured that never ever the behavior of the backslash in comments is going to be changed, so I can start working around this issue by hand, knowing that they won't start displaying incorrectly at some point in the future? Why are some muggles allowed to know of the magical world? Independent Edit/Object mode in splitscreen When I split screen in two and switch Edit/Object mode, they both change. How to change just one? The intention here is:  use one to modelling with numkey view with transparent wireframe and the other to see the progress in perspective, with solid mesh Database Encryption scan for database  was aborted. Reissue ALTER DB to resume the scan Looking for old book, SF, artificial world, different zones for different species that visitors "inhabit" I read this book at least ten years ago.  Any help identifying it would be appreciated.  Characters are teleported to an artificial world where each take over the mind of a different species.  I remember a moving sentient plant, a faun-like character, and a wasp-like character.  The planet is subdivided into different zones designed for each species.  One of the characters had long sharp fingernails with poison in them.  Thanks for any help, steve is the group of rational numbers the fundamental group of some space? Evaluate $\lim_{n\to \infty} \sum_{r=1}^n \frac {1}{2^r}\tan \left(\frac {1}{2^r}\right)$ Evaluate $$\lim_{n\to \infty} \sum_{r=1}^n \frac {1}{2^r}\tan \left(\frac {1}{2^r}\right)$$   I tried to create a telescoping sum but I couldn't. The last step I could reach was turning the limit into $$\lim_{n\to \infty} \sum_{r=1}^n \left(\frac {1}{2^r(1-\tan (2^{-r+1})} -\frac {1}{2^r(1+\tan (2^{-r+1})}\right) $$  But couldn't proceed further. Also I thought about Riemann sums but it was a pure dead end.  Any help would be greatly appreciated Where to put my code: plugin or functions.php? Is there an easy to understand scheme to decide what kind of code belongs to a plugin or the theme’s functions.php?  There    and many  about that topic, mostly because there are some misconceptions about the inner workings of WordPress. I am asking for an answer based on facts, not on opinions.  It should explain how to handle these points (and probably more):   custom post types and taxonomies contact forms shortcodes custom widgets  SEO functions like custom meta elements theme switch   There are often pros and cons for both sides. Our most popular question  got a lot of code snippets as answers that are at least debatable. We need criteria a beginner can understand, maybe a check list – with reasons.  See also the related question by Chip Bennett on our meta site:   Related: Finding rank-nullity of a given matices How do you calculate the probability density function of the maximum of a sample of IID uniform random variables? Given the random variable  $$Y = \max(X_1, X_2, \ldots, X_n)$$  where $X_i$ are IID uniform variables, how do I calculate the PDF of $Y$?