Monday, September 29, 2014

Advanced Math Solutions – Integral Calculator, common functions

In the previous post we covered the basic integration rules (click here).  Before we continue with more advanced techniques, we will cover some common integrals (reciprocal, exponential and trigonometric functions).  You will be using the common integrals a lot, so get to know them well.

Reciprocal & Exponential:
\int\frac{1}{x}dx=\ln|x|+C
\int e^x dx=e^x+C
\int a^x dx=\frac{a^x}{\ln(a)}+C

Trigonometry:
\int\cos(x)dx=\sin(x)+C
\int\sin(x)dx=-\cos(x)+C
\int\sec^2(x)dx=\tan(x)+C
\int\csc^2(x)dx=-\cot(x)+C

The remaining trig functions can be integrated using advanced techniques, but that’s for later.


Let’s take a look at a few examples (we’re doing it slowly)
Starting with basic trigonometric functions (click here):


Exponential function (click here):


Here’s an example using the sum rule, power rule, and common integrals (click here):



Still doing good.

Cheers,
Michal

48 comments:

  1. This comment has been removed by a blog administrator.

    ReplyDelete
  2. Thanks man. Why dont you edit pics of your blog using apps like snapseed. such apps are very easy to use unlike any other apps for Android.

    ReplyDelete
  3. A good blog always comes-up with new and exciting information and while reading I have felt that this blog really has all those quality that qualify a blog to be a good one.

    Best Top Games

    ReplyDelete
  4. Hy dear, thanks for sharing this Advanced math solutions. I m really stucked Integral and common functions.

    Free Baby Stuff For Expectant Mothers

    ReplyDelete
  5. I think that this site contains some more really useful articles on a topic with some hints.

    ReplyDelete
  6. Good site you have got here.. It’s hard to
    find high quality writing like yours nowadays.

    I seriously appreciate people like you! Take care!!

    Best Regards,
    columbus day

    ReplyDelete
  7. I have felt that this blog really has all those quality that qualify a blog to be a good one shareit apk app

    ReplyDelete
  8. this blog really has all those quality that qualify a blog to be a good one. https://snaptube-downloadapp.com/

    ReplyDelete
  9. Thank you. Your knowledge is very good. I can also do calculations on my phone.

    Coin Master

    ReplyDelete
  10. Thank you. Your knowledge is very good. I can also do calculations on my phone.

    --------------------------------------
    WhatsApp Dp

    ReplyDelete
  11. https://techyhunt.net/tools/subway-surfers-game-free-download-for-pc/
    https://techyhunt.net/tools/download-microsoft-office-2013/
    https://techyhunt.net/tools/download-microsoft-office-2019-for-window-and-mac-pc/
    https://techyhunt.net/tools/tanki-online-free-game-download/

    ReplyDelete
  12. TutuApp is perfect with Android, Windows, iOS, and Browsers making it open through numerous stages.
    https://tutuapp.xyz/
    tutuapp
    tutuapp vip
    tutuapp download

    ReplyDelete
  13. vShare Market is a totally free application where you can download applications for your iOS or Android gadget utilizing the all-around effectively and productively at high exchange speed.
    https://vshare.one/
    Vshare
    Vshare ios

    ReplyDelete
  14. Hello It’s really a nice and helpful piece of info. I am happy that you shared this helpful info with us. Please stay us informed like this. Thank you for sharing. bye
    Tangki Panel
    Tangki Fiberglass
    Jual Septic Tank

    ReplyDelete
  15. Nursing Students always find out the best research paper writing services in usa since its very difficult because they require extensive research and most students lack the appropriate skills of researching. Students also seek help of top custom essay services.

    ReplyDelete
  16. Youre so cool! I dont suppose Ive read anything like this before. So nice to find somebody with some original thoughts on this subject. realy thank you for starting this up. this website is something that is needed on the web, someone with a little originality. useful job for bringing something new to the internet!

    Website
    Information

    ReplyDelete
  17. Our non plagiarized college essays writers have been 14 years experience in the field where they have assisted thousands of returning clients in attaining high scores in their college research paper services.

    ReplyDelete

  18. Good Job you Are sharing Such a effective and informative stuff
    clash of magic
    clash of magic Apk

    ReplyDelete
  19. We are the best writing company providing Research Writing Service written by native English speakers. Our Buy Essay Writing Service are natives of English speaking countries and have undergone testing from an international language certification board to verify their proficiency in written and spoken English.

    ReplyDelete
  20. You don't have to stress people, as today I am going to educate you concerning the most recent Clash Of Clans MOD APK latest advances identified with this wondrous game. What's more, it will most likely make your gaming background increasingly fun and euphoria

    ReplyDelete

  21. Really informative article.Really looking forward to read more. Really Cool.
    โปรโมชั่นGclub ของทางทีมงานตอนนี้แจกฟรีโบนัส 50%
    เพียงแค่คุณสมัคร Gclub กับทางทีมงานของเราเพียงเท่านั้น
    ร่วมมาเป็นส่วนหนึ่งกับเว็บไซต์คาสิโนออนไลน์ของเราได้เลยค่ะ
    สมัครสล็อตออนไลน์ >>> goldenslot
    สนใจร่วมลงทุนกับเรา สมัครเอเย่น Gclub คลิ๊กได้เลย

    ReplyDelete

  22. Im grateful for the blog post.Really thank you!
    เว็บไซต์คาสิโนออนไลน์ที่ได้คุณภาพอับดับ 1 ของประเทศ
    เป็นเว็บไซต์การพนันออนไลน์ที่มีคนมา Gclub Royal1688
    และยังมีหวยให้คุณได้เล่น สมัครหวยออนไลน์ ได้เลย
    สมัครสล็อตออนไลน์ได้ที่นี่ >>> Golden slot
    ร่วมลงทุนสมัครเอเย่น Gclubกับทีมงานของเราได้เลย

    ReplyDelete
  23. disney hub enterprise

    The Walt Disney Company, commonly known as Disney is an American diversified multinational mass media and entertainment conglomerate headquartered at ...

    ReplyDelete