A community for students.
Here's the question you clicked on:
 0 viewing

This Question is Closed

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.0What kind of integration (what functions)?

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.0For 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...

hba
 2 years ago
Best ResponseYou've already chosen the best response.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 .

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2http://openstudy.com/users/hartnn#/updates/50960518e4b0d0275a3ccfba

hba
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn What about the tricks ? I think i forgot them When we have a cycle from 0 to pi i guess.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2yeah... from 0 to 2pi, integration of sin and cos is 0....

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2do u want it properly in latex from, or in words form ??

hba
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn Latex form with some examples please.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2have patience, it will take time...

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah lol thanks i am waiting :)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(\color {red} {\text{ If m,n are Integers } \\ \text{Set I : } \\\int \limits_0^{2 \pi} \sin nx = 0 \\\int \limits_0^{2 \pi} \cos nx = 0 \\\int \limits_0^{2 \pi} \sin nx . \cos nx = 0 \\ \int \limits_0^{2 \pi} \sin nx \sin mx = 0 [m \ne n] \\\int \limits_0^{2 \pi} \cos nx \cos mx = 0 [m \ne n]}\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(\color{red}{\text{Set II :}\\ \int \limits_0^{2 \pi}\sin^2nx =\pi \\\int \limits_0^{2 \pi}\cos^2nx =\pi }\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2sorry i am missing dx everywhere

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(\color {red}{\\\int \limits_0^{\color{blue }{n}\pi}\sin^2nx=\color{blue}{n}\pi/2 \\ }\) \(\color {red}{\\\int \limits_0^{\color{blue }{n}\pi}\cos^2nx=\color{blue}{n}\pi/2 \\ }\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(\color{red}{\int \limits_0^\pi\sin mx.\sin nx=0(m \ne n)}\) \(\color{red}{\int \limits_0^\pi\cos mx.\cos nx=0(m \ne n)}\)

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Yaar @hartnn Is mai koi odd or even ka scene bhi hota hai na ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2generally, if the function f(x) is odd, then \(\huge \int \limits_{a}^af(x)=0 \) if the function f(x) is even \(\huge \int \limits_{a}^af(x)=2\int \limits_{0}^af(x) \)

hba
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn Set hai,Thanks a lot :)

hba
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn Acha aik example show krdo mujhe ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2example for which formula ?

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Jo odd or even hai na uss kai liyee.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2u know how to find even / odd function ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(\huge \int \limits_{a}^a(x^3x) dx=... \\ \huge \int \limits_{\pi/2}^{\pi/2}\sin^3x dx=...\)

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Mujhe pata hai even/odd function kia hota hai trignometric mai sahi sai yaad nahi shayad sin and cos hota hai even or baki odd.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(\huge \int \limits_{\pi}^{\pi}\sin2x.\sin5x dx=.... \\\huge \int \limits_{a}^ax^4+x^2+1.dx=....\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2sin (x) = sin x <odd cos(x) = cos x <even

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Acha or hyperbolic function ka kia hota hai integration mai ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2mere link me hai, hyperbolics....

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2got it ? for properties of definite integrals http://www.pinkmonkey.com/studyguides/subjects/calc/chap7/c0707501.asp 12th one is my fav....

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2challenge Q, if any1's interested ..... PROVE \(\int\limits_{0}^{\pi} \ln \sin(x)=\pi \ln(2)\) i've solved that on OS...
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.