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Skip2mylou426

  • 2 years ago

Find the integral of (cos^2(x))((cosxsin^2n+1)*(pi/2*sinx)+(sinxsin^2n+1)(pi/2*cosx)) from 0 to pi/2

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  1. primeralph
    • 2 years ago
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    Input it more clearly.

  2. Skip2mylou426
    • 2 years ago
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    \[\int\limits_{0}^{\pi/2}\cos ^{2}x(\cos x \sin ^{2n+1}(\frac{ \pi }{ 2 }sinx)+sinxsin ^{2n+1}(\frac{ \pi }{ 2 }cosx))dx\]

  3. primeralph
    • 2 years ago
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    Go Wolfram.

  4. Skip2mylou426
    • 2 years ago
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    I don't have the first clue on how to use that

  5. primeralph
    • 2 years ago
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    http://integrals.wolfram.com/index.jsp

  6. swissgirl
    • 2 years ago
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    Wolfram sucks these days :(

  7. primeralph
    • 2 years ago
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    How?

  8. swissgirl
    • 2 years ago
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    Thats what happens with all these free awesome programs

  9. primeralph
    • 2 years ago
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    Well, I don't think it even has CAS. I don't use it though.

  10. swissgirl
    • 2 years ago
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    Well if you wanna see the steps then you gotta have membership

  11. primeralph
    • 2 years ago
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    Well, I'd expect them to do that.

  12. swissgirl
    • 2 years ago
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    Ummm this is an annoying function. @Skip2mylou426 what r u currently studying?

  13. swissgirl
    • 2 years ago
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    Wolfram was the best matrix calculator .........

  14. primeralph
    • 2 years ago
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    was?

  15. primeralph
    • 2 years ago
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    Think it's always been Matlab......

  16. swissgirl
    • 2 years ago
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    Welll ya Dont have matlab. I used to have mathematica but my comp broke down so dont have it no more :(

  17. primeralph
    • 2 years ago
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    @Skip2mylou426 I think the integral can't be evaluated easily because of the form sin(acos(b))

  18. primeralph
    • 2 years ago
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    @swissgirl Yeah, if you're into coding, you'll fancy Matlab.

  19. swissgirl
    • 2 years ago
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    I guess he went to the lou :)

  20. Skip2mylou426
    • 2 years ago
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    I was trying to type that monstrosity into Wolfram. Epic fail. It didn't work at all.

  21. doulikepiecauseidont
    • 2 years ago
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    http://www.wolframalpha.com/widgets/view.jsp?id=dc816cd78d306d7bda61f6facf5f17f7 This might help too

  22. swissgirl
    • 2 years ago
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    OMG IK THAT

  23. swissgirl
    • 2 years ago
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    It always happens to me

  24. primeralph
    • 2 years ago
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    There is no free CAS engine...........unless you can hack. Otherwise, get your pen and paper.

  25. swissgirl
    • 2 years ago
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    wait let me try wolframming it for u

  26. Skip2mylou426
    • 2 years ago
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    A little rusty on the calculus. I haven't taken calc in 3 or 4 years unfortunately

  27. swissgirl
    • 2 years ago
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    What course are u taking now?

  28. primeralph
    • 2 years ago
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    @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.

  29. Skip2mylou426
    • 2 years ago
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    It's called Problem Solving. It's a combination of every type of math course that could've possibly been taken.

  30. swissgirl
    • 2 years ago
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    FUNNNNNN :)

  31. Skip2mylou426
    • 2 years ago
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    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.

  32. primeralph
    • 2 years ago
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    I don't see the point in putting that into an integral. The integrand can be simplified though....it just looks ugly.

  33. primeralph
    • 2 years ago
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    |dw:1372916840241:dw|

  34. primeralph
    • 2 years ago
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    |dw:1372917002693:dw|

  35. primeralph
    • 2 years ago
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    .........then you start using the identities......

  36. swissgirl
    • 2 years ago
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    Ohhhh cooollll Ya I shld have thought of cleaning it up by using identities :)

  37. primeralph
    • 2 years ago
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    Yeah, I'm sure you'd have figured it out eventually. It's just boring to look at.

  38. Skip2mylou426
    • 2 years ago
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    so clean it up using identities, then plug in?

  39. Skip2mylou426
    • 2 years ago
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    is that a square that cuts off at the end?

  40. swissgirl
    • 2 years ago
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    Yes it is

  41. primeralph
    • 2 years ago
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    |dw:1372917328459:dw|

  42. Skip2mylou426
    • 2 years ago
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    thanks! think it'll be messy if I don't use identities first?

  43. primeralph
    • 2 years ago
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    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,

  44. hobbs978
    • 2 years ago
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    @primeralph love your picture

  45. hobbs978
    • 2 years ago
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    just thought i would point that out

  46. primeralph
    • 2 years ago
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    @hobbs978 Thanks. Yours too. No homo.

  47. Skip2mylou426
    • 2 years ago
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    I appreciate your help!

  48. primeralph
    • 2 years ago
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    You're welcome. Sorry I couldn't finish it; I'm kinda tired today.

  49. Skip2mylou426
    • 2 years ago
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    It's ok, I wish I even remembered how to start it. I feel like a failure.

  50. swissgirl
    • 2 years ago
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    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

  51. primeralph
    • 2 years ago
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    It's funny how the system changes your words by itself. We know what you meant to type instead of "pellet"........

  52. primeralph
    • 2 years ago
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    @Skip2mylou426 http://www.sosmath.com/trig/Trig5/trig5/trig5.html

  53. Skip2mylou426
    • 2 years ago
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    So after plugging everything in...I come up with a big fat zero...

  54. swissgirl
    • 2 years ago
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    hahahahaha :D Just smile

  55. primeralph
    • 2 years ago
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    Well, zero is an answer...in many cases.

  56. Skip2mylou426
    • 2 years ago
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    I may have made a mistake. ugh. ok I'm going to attempt to draw this.. hold on

  57. Skip2mylou426
    • 2 years ago
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    |dw:1372918536405:dw|

  58. Skip2mylou426
    • 2 years ago
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    ok so the \[\cos(0)^3\] is going to be equal to one and then I end up with..

  59. primeralph
    • 2 years ago
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    0

  60. Skip2mylou426
    • 2 years ago
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    |dw:1372918796639:dw|

  61. Skip2mylou426
    • 2 years ago
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    what about the n?

  62. primeralph
    • 2 years ago
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    Still 0

  63. Skip2mylou426
    • 2 years ago
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    Ok that's what I originally had. Sorry, don't hate me

  64. primeralph
    • 2 years ago
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    No, I don't hate you. Stop bringing yourself down. Sure you're an awesome student.

  65. Skip2mylou426
    • 2 years ago
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    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.

  66. swissgirl
    • 2 years ago
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    Modern Algebra = Abstract Algebra?

  67. Skip2mylou426
    • 2 years ago
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    Give or take. Our professor wrote the text for it

  68. primeralph
    • 2 years ago
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    That's the sad part; when your course is customized.

  69. swissgirl
    • 2 years ago
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    Ok that is a really hard course.

  70. swissgirl
    • 2 years ago
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    Why is that sad?

  71. primeralph
    • 2 years ago
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    Well, it means you can't find the answers elsewhere......since the professor made them up.

  72. swissgirl
    • 2 years ago
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    hahahaha yaaaaaa My abstract algebra course was customized too

  73. Skip2mylou426
    • 2 years ago
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    Almost our whole department is like that. The worst thing is that the majority of our professors are research-based and suck at teaching.

  74. swissgirl
    • 2 years ago
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    Like most profs out there who cant teach

  75. primeralph
    • 2 years ago
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    I learned a long time ago to never expect a professor to teach well. I just get the syllabus and do my thing.

  76. Jhannybean
    • 2 years ago
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    Exactly...

  77. Jhannybean
    • 2 years ago
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    Hmm.. @satellite73 perhaps?...

  78. Skip2mylou426
    • 2 years ago
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    that's the issue with this class, he just gives you a bunch of problems with no material to work with

  79. primeralph
    • 2 years ago
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    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.

  80. primeralph
    • 2 years ago
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    ........you can get them online for free.....if you know your way.........

  81. Skip2mylou426
    • 2 years ago
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    I probably lack the necessary skills to do that. Can't hurt to try though

  82. swissgirl
    • 2 years ago
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    Ya I only do free stuff. I got mathematica for free and all my textbooks in pdf formats

  83. Jhannybean
    • 2 years ago
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    mathematica for free?....i hate you. I need to torrentthis.

  84. primeralph
    • 2 years ago
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    @Skip2mylou426 The first book explains quite well. I've used it for HS students, so it should be cool.

  85. Skip2mylou426
    • 2 years ago
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    I'll have to check it out soon. Thanks again for your help, I think I'm going to go die now :)

  86. primeralph
    • 2 years ago
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    Stay safe.

  87. experimentX
    • 2 years ago
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    \[ \frac{2 (1)_{n-1}}{\pi \left( \frac 3 2\right)_{n-1} }\] http://mathworld.wolfram.com/PochhammerSymbol.html

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