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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
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Input it more clearly.
\[\int\limits_{0}^{\pi/2}\cos ^{2}x(\cos x \sin ^{2n+1}(\frac{ \pi }{ 2 }sinx)+sinxsin ^{2n+1}(\frac{ \pi }{ 2 }cosx))dx\]
Go Wolfram.

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Other answers:

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

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