How Do I Integrate eSignature in PaperWise
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FAQs
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How do I calculate indefinite integral of [math]e^{x^2}[/math]?
Integration of e^(x^2)
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What is the antiderivative of [math]e^{-x^2}[/math]?
The integral in this question can be expressed in terms of what is called a special function.The series expansion of [math]\displaystyle e^{-x^2}[/math] around [math]x = 0[/math] is expressed as (verified with Mathematica):[math]\displaystyle 1-x^2 +\frac{x^4}{2}-\frac{x^6}{6} +\frac{x^8}{24}-\frac{x^{10}}{120}+ …[/math]The series expansion above is symbolically written as:[math]\displaystyle e^{-x^2}=\sum _{n=0}^{\infty } \frac{\left(-x^2\right)^n}{n!}=\sum _{n=0}^{\infty } \frac{(-1)^n \left(x^2\right)^n}{n!}[/math]Using the last result above and integrating, we get:[math]\displaystyle \int e^{-x^2} \, dx = \int \left(\sum _{n=0}^{\infty } \frac{(-1)^n \left(x^2\right)^n}{n!}\right) \, dx=\sum _{n=0}^{\infty } \frac{(-1)^n x^{2 n+1}}{(2 n+1) n!}+C[/math]If we examine the infinite sum obtained above, and look at the series expansion of the error function which is given by:[math]\displaystyle \operatorname {erf} (x)={\frac {2}{\sqrt {\pi }}}\sum _{n=0}^{\infty }{\frac {(-1)^{n}x^{2n+1}}{n!(2n+1)}} \\ \displaystyle \qquad ={\frac {2}{\sqrt {\pi }}}\left(x-{\frac {x^{3}}{3}}+{\frac {x^{5}}{10}}-{\frac {x^{7}}{42}}+{\frac {x^{9}}{216}}-\cdots \right),[/math]we see that the integral in this question can be expressed as:[math]\displaystyle \boxed{\int e^{-x^2} \, dx =\sum _{n=0}^{\infty } \frac{(-1)^n x^{2 n+1}}{(2 n+1) n!}+C = \frac{1}{2} \sqrt{\pi }* \text{erf}(x)+C}[/math]Below is a plot of the integration solution:Note that the solution to the given indefinite integral could be found by using the definition of the error function:[math]\displaystyle \text{erf} (x)={\frac {2}{\sqrt {\pi }}}\int _{0}^{x}e^{-x^{2}}\,dx={\frac {2}{\sqrt {\pi }}}\int e^{-x^{2}}\,dx,[/math]so that we have:[math]\displaystyle \int e^{-x^{2}}\,dx = \frac {\sqrt{\pi}}{2} \text{erf}(x)+ constant[/math]Considering the representation of the error function via other general functions, the given integral can be also expressed in terms of the generalized hypergeometric function [math]\, _pF_q (a;b;x)[/math] in the following form:[math]\displaystyle \int e^{-x^2} \, dx= x* \, _1F_1\left(\frac{1}{2};\frac{3}{2};-x^2\right) + constant [/math]
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What is the integration of [math]e^{\sin x}[/math] ?
Thank You
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How can I integrate my about.me profile card into my email signature (Entourage for Mac)?
If you head to http://about.me/stats/yourname#p... you'll see a variety of email providers we provide instructions for. Although entourage isn't there, if you click Tools then Signatures, you can drop in the link we provide at another set of instructions.
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How much efforts does it take to integrate digital signature in a web application for each document?
Free Browser Extension Signer.Digital for singing Returns using Digital Signature on Client’s USB Token using JavaScript on Browser. Chartered Information Systems Pvt. Ltd. Being the largest Registering Authority and Importer and Distributor of ePass tokens, also provides Signer.Digital [ https://signer.digital ] range of Products, Libraries, HSM, Multitenant HSM – Kluis, etc Developers please refer to below StackOverflow posts for more information: Functions supported: 1. Sign GST or ITR returns from Web Browser: How to Digitally Sign GST Return or eReturn using JavaScript form Browser and USB Token of user? Can I use WebCrypto API? [ https://stackoverflow.com/a/55692742/9659885 ] 2. Sign PDF from web Browser: Sign PDF with plain JavaScript [ https://stackoverflow.com/a/55676351/9659885 ] 3. DSC Web Login (Authentication): User Authentication from Browser using Digital Signature Certificate on USB Token or Smart Card [ https://stackoverflow.com/a/55757349/9659885 ] Download Setup from CNet using link Signer.Digital Chrome Extension [ https://download.cnet.com/Signer-Digital-Chrome-Extension/3000-33362_4-78042540.html ] or from https://signer.digital/downloads/Signer.Digital.Chrome.Host.Setup.zip
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How do I integrate [math]\dfrac1{e^{2x} +e^{x}} ?[/math]
[math]I=\displaystyle \int \dfrac 1 {e^{2x}+e^x}dx[/math][math]=\displaystyle \int \dfrac 1 {e^x(e^x+1)}dx[/math][math]=\displaystyle \int \dfrac {(e^x+1)-e^x} {e^x(e^x+1)}dx[/math][math]=\displaystyle \int \dfrac {1} {e^x}dx-\int \dfrac {1} {e^x+1}dx[/math][math]=\displaystyle \int e^{-x}dx-\int \dfrac {e^{-x}} {1+e^{-x}}dx[/math][math]=\boxed{-e^{-x}+\ln (1+e^{-x})+C}[/math]
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Is it possible to add HTML in a Gmail signature?
I found an article answering your question, hope that it answers your question well enough. So, the answer to this is quite simple – after you open up the contents of the HTML message in an internet browser, you simply select that entire page to copy the contents (using CTRL-C , CMD-C, or Select All) of the page and then finally just paste those contents into the Gmail or Yahoo message using CTRL-V or CMD-V. Thanks, -Brody
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What do you look for in an e-signature solution?
E-signature solutions are often packaged with other software, and when you look for such a product, there are a number of factors that you should look for. Is it cloud based? If you are working with offline software, you might have issues with security, or finding a way to easily back up your data. Is the solution legally enforceable? You might be surprised that just signing your name to an electronic document might not be enough to make it legally binding. Often times, identification is required with a proof of signature, which can be shown to match that on the document. It can be a hassle to get these things without a full solution, which handles not only the signatures, but also form data, documents, document security and communication. For these reasons, I recommend D365 Business by Kdan Mobile, which includes the renowned signNow E-signature platform. E-Signatures with D365 Business include a full document management solution, from scanning, editing, form filling, signatures, signature management, and communication. When all of your signatures are received, you can save securely on the cloud with 1 TB of cloud storage per user, and even send the document via fax, straight from your mobile device. With a full-featured E-signature solution, you can easily collaborate and transfer files from one device to another, without worrying that you need to save your work. I highly recommend for you to download the full suite of D365 apps today, and get started sending e-signatures with a free trial.
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How do I integrate e^(e^x)?
Letif y = integral e^x thendy/dx = e^xSupposey = f(x) = e^xSo derivative of e^x is e^x itself. or in other words integral of e^x is e^x itself
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