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

agent0smith
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.2http://openstudy.com/users/hartnn#/updates/50960518e4b0d0275a3ccfba

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

hartnn
 one year 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
 one year 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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