Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Romero
Group Title
Help with integration. Can someone show me how to do this.
 2 years ago
 2 years ago
Romero Group Title
Help with integration. Can someone show me how to do this.
 2 years ago
 2 years ago

This Question is Closed

Romero Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_0^{2 pi} (\sqrt{1/(3 pi)}+e^{i x}\sqrt{1/(6 pi)} )^2 dx = 2/3 \]
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
The inside is squared.
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
The e^ix is really bugging me.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_0^{2\pi}\sqrt{\frac{1}{3\pi}}+e^{ix}\sqrt{\frac{1}{{(6\pi)}^2}}\text d x=\frac 2 3\]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
is that right?
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
no no The whole thing inside the integral is squared.
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
That's why I have a parentheses in the beginning it just doesn't show it that well when i used equations.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_0^{2\pi}\left( {\sqrt{\frac{1}{3\pi}}+e^{ix}\sqrt{\frac{1}{6\pi}}}\right)^2\text d x=\frac 2 3\]
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
So do I just foil it out and find the integral?
 2 years ago

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
turn e^(ix) into cos x+i sin x.
 2 years ago

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
If it really bothers you that much. I would just treat i as a constnat. Replace i with g and just integrate it like a constant.
 2 years ago

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
Then, replace the g's back with i's. Remember that i^2=1
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
If I carry out the foil I know that I can split it into three different integral with the first one being integrating 1/3pi If I do that I can simply take out 1/3pi since it's a constant and I get (1/3pi)(2pi0)=2/3 which is the answer but how does that other part cancel out?
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Can you copy and paste your integral it into Wolfram Alpha? It will show you how to do it stepbystep
 2 years ago

inkyvoyd Group TitleBest ResponseYou've already chosen the best response.0
I would input that into mathematica, but unfortunately my laptop with its installation is being fixed atm
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
My calc 2 teacher avoided imaginary numbers. So I'm really curious now.
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Mathematica is on my dead mac... Ugh
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
Oh I think I know what I did wrong. I was suppose to multiply the inside function with it's complex conjugate so it cancels out all imaginar values.
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Anyone have Mac OS X up. Grapher could probably do it.
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Change it to polar form maybe?
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
No the thing is that I was suppose to multiply imaginary function with imaginary and that just cancels out all the imaginaries.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
what do i enter into grapher? @Christbot
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Wait, wait never about Grapher... Here http://en.wikipedia.org/wiki/Integration_using_Euler%27s_formula
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
You guys familiar with Euler's formula?
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
Yes but I don't need to use it at this point.
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Have you tried foiling that giant square and breaking up the integral and placing the e^ix before the integral?
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
That was the original problem I just wrote it wrong.
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
I actually got 1 with the addition of some leftover integrals that should cancel out yet I don't really know why.
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
Ouch indeed I hate my life right now. lol
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
shouldn't post your phone number on the internet lol and I don't have an iphone. :(
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
I'm just facebooking myself the input... I'll work to copy and paste, lol
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
What the hell?! Wolfram won't integrate it?!
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Can't we let 1 = trig identity? Wow...
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
bam I got it as an indefinite integral! Gotta wait for my slow phone, sorry!
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Want the last bit or you got it?
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
High five!
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.1
*high five* thanks again!! really helped me out!
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
No prob! I love a good problem.
 2 years ago

christbot Group TitleBest ResponseYou've already chosen the best response.1
Oh the web version works for free. Yeah, sometime you just gotta tinker with the input. I'm deleting the image links, but here is my mathy blog, FWIW http://mathstem.blogspot.com/ I'll delete my cell# too, lol!
 2 years ago
See more questions >>>
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.