A community for students.
Here's the question you clicked on:
 0 viewing
experimentX
 3 years ago
find the shortest method to evaluate this
\[ \int \frac{\sin x}{\sin x + \cos x} \; dx\]
experimentX
 3 years ago
find the shortest method to evaluate this \[ \int \frac{\sin x}{\sin x + \cos x} \; dx\]

This Question is Closed

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3dw:1347566427407:dw

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3Do you know anything shorter?

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0nope ... haven't found any other.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0just noted how similar these two integrals look like \[ \int \frac{\sin x}{\sin x + \cos x} \; dx \\ \int \frac{\cos x}{\sin x + \cos x} \; dx \]

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3Note one more way. Although the same really, dw:1347566670806:dw

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3^^ No limits here.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0well ... pretty clever manipulation on the last problem

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.0lol i thought there are ;)

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0yeah ... that is also very nice problem. i wish this one had too http://math.stackexchange.com/questions/198083/integratesin3xsin3xcos3x/198122#198122

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0interesting technique ...

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3maybe it does. dw:1347567374847:dw

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0there is one http://www.wolframalpha.com/input/?i=integrate%20%201/3%2bsin%28x%29/%283%28sin%28x%29%20%2b%20cos%28x%29%29%29%20%202cos%282x%29/%283%2a%282%20%20sin%282x%29%29%29 not nice and intuitive though

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3For 2, Taking six + cosx as t, dw:1347567485586:dw

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0this is just a back hack

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0find the answer first ... differentiate the answer to get the get the middle portion.

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3How do you find the answer first?

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0make it easy as much a possible ... that's how i approach most of the problems. i to honest ... i can't work without answer.

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3Okay. Back hack, eh. Hmmmm.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0Weierstrass substitution gives solution of any type ... but that is the last resort. very ugly method.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0well ... good night!!

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3Yeah. Goodnight. I'll think about this and get back to you tommorow. :)

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3Hold onn. What about the current solution to that, It does work quite easily or not?

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.3To the sin^3x/sin^3x + cos^3x

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0there isn't nice manipulation like sin(x)/sin(x)+cos(x) for this one.
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.