anonymous
  • anonymous
Find the integral of (cos^2(x))((cosxsin^2n+1)*(pi/2*sinx)+(sinxsin^2n+1)(pi/2*cosx)) from 0 to pi/2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
primeralph
  • primeralph
Input it more clearly.
anonymous
  • anonymous
\[\int\limits_{0}^{\pi/2}\cos ^{2}x(\cos x \sin ^{2n+1}(\frac{ \pi }{ 2 }sinx)+sinxsin ^{2n+1}(\frac{ \pi }{ 2 }cosx))dx\]
primeralph
  • primeralph
Go Wolfram.

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More answers

anonymous
  • anonymous
I don't have the first clue on how to use that
primeralph
  • primeralph
http://integrals.wolfram.com/index.jsp
swissgirl
  • swissgirl
Wolfram sucks these days :(
primeralph
  • primeralph
How?
swissgirl
  • swissgirl
Thats what happens with all these free awesome programs
primeralph
  • primeralph
Well, I don't think it even has CAS. I don't use it though.
swissgirl
  • swissgirl
Well if you wanna see the steps then you gotta have membership
primeralph
  • primeralph
Well, I'd expect them to do that.
swissgirl
  • swissgirl
Ummm this is an annoying function. @Skip2mylou426 what r u currently studying?
swissgirl
  • swissgirl
Wolfram was the best matrix calculator .........
primeralph
  • primeralph
was?
primeralph
  • primeralph
Think it's always been Matlab......
swissgirl
  • swissgirl
Welll ya Dont have matlab. I used to have mathematica but my comp broke down so dont have it no more :(
primeralph
  • primeralph
@Skip2mylou426 I think the integral can't be evaluated easily because of the form sin(acos(b))
primeralph
  • primeralph
@swissgirl Yeah, if you're into coding, you'll fancy Matlab.
swissgirl
  • swissgirl
I guess he went to the lou :)
anonymous
  • anonymous
I was trying to type that monstrosity into Wolfram. Epic fail. It didn't work at all.
anonymous
  • anonymous
http://www.wolframalpha.com/widgets/view.jsp?id=dc816cd78d306d7bda61f6facf5f17f7 This might help too
swissgirl
  • swissgirl
OMG IK THAT
swissgirl
  • swissgirl
It always happens to me
primeralph
  • primeralph
There is no free CAS engine...........unless you can hack. Otherwise, get your pen and paper.
swissgirl
  • swissgirl
wait let me try wolframming it for u
anonymous
  • anonymous
A little rusty on the calculus. I haven't taken calc in 3 or 4 years unfortunately
swissgirl
  • swissgirl
What course are u taking now?
primeralph
  • primeralph
@swissgirl No point. The integrand has the form of a switch variable 'n' which would leave the answer not numeric, but algebraic........which requires a CAS software.
anonymous
  • anonymous
It's called Problem Solving. It's a combination of every type of math course that could've possibly been taken.
swissgirl
  • swissgirl
FUNNNNNN :)
anonymous
  • anonymous
haha not quite. He only gives us 1 point per problem solved. All work is required and 500 points are needed to get an A. Class has one month left (halfway done) and I have 178 points right now. KILL ME.
primeralph
  • primeralph
I don't see the point in putting that into an integral. The integrand can be simplified though....it just looks ugly.
primeralph
  • primeralph
|dw:1372916840241:dw|
primeralph
  • primeralph
|dw:1372917002693:dw|
primeralph
  • primeralph
.........then you start using the identities......
swissgirl
  • swissgirl
Ohhhh cooollll Ya I shld have thought of cleaning it up by using identities :)
primeralph
  • primeralph
Yeah, I'm sure you'd have figured it out eventually. It's just boring to look at.
anonymous
  • anonymous
so clean it up using identities, then plug in?
anonymous
  • anonymous
is that a square that cuts off at the end?
swissgirl
  • swissgirl
Yes it is
primeralph
  • primeralph
|dw:1372917328459:dw|
anonymous
  • anonymous
thanks! think it'll be messy if I don't use identities first?
primeralph
  • primeralph
Well, depending on how much math you know, yes and no. You might be able to notice the symmetry; and if you can't fiddle with it,
anonymous
  • anonymous
@primeralph love your picture
anonymous
  • anonymous
just thought i would point that out
primeralph
  • primeralph
@hobbs978 Thanks. Yours too. No homo.
anonymous
  • anonymous
I appreciate your help!
primeralph
  • primeralph
You're welcome. Sorry I couldn't finish it; I'm kinda tired today.
anonymous
  • anonymous
It's ok, I wish I even remembered how to start it. I feel like a failure.
swissgirl
  • swissgirl
hahaha dont feel like one I took 2 semesters of stats earlier this yr and I cant remember pellet Yesterday I was looking at a question and was totally blank. I felt like the biggest failure
primeralph
  • primeralph
It's funny how the system changes your words by itself. We know what you meant to type instead of "pellet"........
primeralph
  • primeralph
@Skip2mylou426 http://www.sosmath.com/trig/Trig5/trig5/trig5.html
anonymous
  • anonymous
So after plugging everything in...I come up with a big fat zero...
swissgirl
  • swissgirl
hahahahaha :D Just smile
primeralph
  • primeralph
Well, zero is an answer...in many cases.
anonymous
  • anonymous
I may have made a mistake. ugh. ok I'm going to attempt to draw this.. hold on
anonymous
  • anonymous
|dw:1372918536405:dw|
anonymous
  • anonymous
ok so the \[\cos(0)^3\] is going to be equal to one and then I end up with..
primeralph
  • primeralph
0
anonymous
  • anonymous
|dw:1372918796639:dw|
anonymous
  • anonymous
what about the n?
primeralph
  • primeralph
Still 0
anonymous
  • anonymous
Ok that's what I originally had. Sorry, don't hate me
primeralph
  • primeralph
No, I don't hate you. Stop bringing yourself down. Sure you're an awesome student.
anonymous
  • anonymous
I'm trying, I really am, but this class is insanely hard. The hardest class in our program is Modern Algebra (which I took last semester), and I thought that was easier than this. I'm at a loss. I don't know what to do.
swissgirl
  • swissgirl
Modern Algebra = Abstract Algebra?
anonymous
  • anonymous
Give or take. Our professor wrote the text for it
primeralph
  • primeralph
That's the sad part; when your course is customized.
swissgirl
  • swissgirl
Ok that is a really hard course.
swissgirl
  • swissgirl
Why is that sad?
primeralph
  • primeralph
Well, it means you can't find the answers elsewhere......since the professor made them up.
swissgirl
  • swissgirl
hahahaha yaaaaaa My abstract algebra course was customized too
anonymous
  • anonymous
Almost our whole department is like that. The worst thing is that the majority of our professors are research-based and suck at teaching.
swissgirl
  • swissgirl
Like most profs out there who cant teach
primeralph
  • primeralph
I learned a long time ago to never expect a professor to teach well. I just get the syllabus and do my thing.
Jhannybean
  • Jhannybean
Exactly...
Jhannybean
  • Jhannybean
Hmm.. @satellite73 perhaps?...
anonymous
  • anonymous
that's the issue with this class, he just gives you a bunch of problems with no material to work with
primeralph
  • primeralph
Get "Engineering Math by KA Stroud" Then go to "Advanced Engineering Math" by anybody.......but Kreyszig........that'll be later because it doesn't explain easy.
primeralph
  • primeralph
........you can get them online for free.....if you know your way.........
anonymous
  • anonymous
I probably lack the necessary skills to do that. Can't hurt to try though
swissgirl
  • swissgirl
Ya I only do free stuff. I got mathematica for free and all my textbooks in pdf formats
Jhannybean
  • Jhannybean
mathematica for free?....i hate you. I need to torrentthis.
primeralph
  • primeralph
@Skip2mylou426 The first book explains quite well. I've used it for HS students, so it should be cool.
anonymous
  • anonymous
I'll have to check it out soon. Thanks again for your help, I think I'm going to go die now :)
primeralph
  • primeralph
Stay safe.
experimentX
  • experimentX
\[ \frac{2 (1)_{n-1}}{\pi \left( \frac 3 2\right)_{n-1} }\] http://mathworld.wolfram.com/PochhammerSymbol.html

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