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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...
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