Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

hba

  • 2 years ago

Can anyone help me i almost forgot what integration is ?

  • This Question is Closed
  1. agent0smith
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What kind of integration (what functions)?

  2. agent0smith
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For definite integrals, the purpose is to find area under a curve. Indefinite integrals are handy for finding a function, given the rate of change of that function. idk if this is what you want...

  3. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[1)\int\limits_{}^{}sinf(x).f'(x)dx=-cosf(x)+c\] \[2)\int\ Cosf(x).f'(x)dx=Sinf(x)+c\] \[3)\int\limits_{}^{}\tan f(x).f'(x)dx=lnsecf(x)+c\] \[4)\int\ Secf(x).f'(x)dx=\ln \left[ secf(x)+tanf(x) \right]\] \[5)\int\limits_{}^{}Cotf(x).f'(x)dx=lnsinx+c\] \[6)\int\limits_{}^{} Cosec f(x).f'(x)dx=\ln(cosecf(x)-cotf(x) ) +c\] \[7)\int\ Sec^2f(x).f'(x)dx=tanf(x)+c\] \[8)\int\limits_{}^{}Cosec^2f(x).f'(x)dx=-Cot f(x)+c\] \[9)\int\limits_{}^{}Sec f(x).Cosecf(x).f'(x)dx=Secf(x)\] I do remember some of these .

  4. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    u want more formulas?

  5. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    http://openstudy.com/users/hartnn#/updates/50960518e4b0d0275a3ccfba

  6. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah thanks.

  7. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @hartnn What about the tricks ? I think i forgot them When we have a cycle from 0 to pi i guess.

  8. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yeah... from 0 to 2pi, integration of sin and cos is 0....

  9. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    do u want it properly in latex from, or in words form ??

  10. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @hartnn Latex form with some examples please.

  11. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    have patience, it will take time...

  12. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah lol thanks i am waiting :)

  13. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\color {red} {\text{ If m,n are Integers } \\ \text{Set I : } \\\int \limits_0^{2 \pi} \sin nx = 0 \\\int \limits_0^{2 \pi} \cos nx = 0 \\\int \limits_0^{2 \pi} \sin nx . \cos nx = 0 \\ \int \limits_0^{2 \pi} \sin nx \sin mx = 0 [m \ne n] \\\int \limits_0^{2 \pi} \cos nx \cos mx = 0 [m \ne n]}\)

  14. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\color{red}{\text{Set II :}\\ \int \limits_0^{2 \pi}\sin^2nx =\pi \\\int \limits_0^{2 \pi}\cos^2nx =\pi }\)

  15. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    sorry i am missing dx everywhere

  16. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\color {red}{\\\int \limits_0^{\color{blue }{n}\pi}\sin^2nx=\color{blue}{n}\pi/2 \\ }\) \(\color {red}{\\\int \limits_0^{\color{blue }{n}\pi}\cos^2nx=\color{blue}{n}\pi/2 \\ }\)

  17. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\color{red}{\int \limits_0^\pi\sin mx.\sin nx=0(m \ne n)}\) \(\color{red}{\int \limits_0^\pi\cos mx.\cos nx=0(m \ne n)}\)

  18. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    thats all i have...

  19. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yaar @hartnn Is mai koi odd or even ka scene bhi hota hai na ?

  20. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    generally, if the function f(x) is odd, then \(\huge \int \limits_{-a}^af(x)=0 \) if the function f(x) is even \(\huge \int \limits_{-a}^af(x)=2\int \limits_{0}^af(x) \)

  21. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @hartnn Set hai,Thanks a lot :)

  22. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @hartnn Acha aik example show krdo mujhe ?

  23. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    example for which formula ?

  24. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Jo odd or even hai na uss kai liyee.

  25. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    u know how to find even / odd function ?

  26. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\huge \int \limits_{-a}^a(x^3-x) dx=... \\ \huge \int \limits_{-\pi/2}^{\pi/2}\sin^3x dx=...\)

  27. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Mujhe pata hai even/odd function kia hota hai trignometric mai sahi sai yaad nahi shayad sin and cos hota hai even or baki odd.

  28. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\huge \int \limits_{-\pi}^{\pi}\sin2x.\sin5x dx=.... \\\huge \int \limits_{-a}^ax^4+x^2+1.dx=....\)

  29. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    sin (-x) = -sin x <----odd cos(-x) = cos x <----even

  30. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh sahi hai :)

  31. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Acha or hyperbolic function ka kia hota hai integration mai ?

  32. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    mere link me hai, hyperbolics....

  33. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Chalo let me check

  34. hba
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks a lot :)

  35. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    got it ? for properties of definite integrals http://www.pinkmonkey.com/studyguides/subjects/calc/chap7/c0707501.asp 12th one is my fav....

  36. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    challenge Q, if any1's interested ..... PROVE \(\int\limits_{0}^{\pi} \ln \sin(x)=-\pi \ln(2)\) i've solved that on OS...

  37. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.