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Calculus help on a trigonometric integral? by Esteis 2005-09-12 02:02:40
I need to find the integral of Cos[x]*Cos[nx] dx, on the interval (-pi/2, pi/2),
as well as the integral of Cos[x]*Sin[nx] on the same interval.

I know Mathematica can find it for me -- but I want to know how to do it. Can anybody help?
[ Reply ]
  I havn't solved it by hej2005-09-12 02:04:43
  Suggestion: rewrite to complex exponentials by ttlogic2005-09-12 02:14:14
    Of bleeding course. Silly me. by Esteis2005-09-12 02:25:16
      Almost. by Pic2005-09-12 02:49:02
        You forgot the i. by Esteis2005-09-12 03:01:24
          D'oh! by Pic2005-09-12 04:02:41
  trigonometric rewrital by aakervik2005-09-12 02:20:09
    Yeah, that one is good by hej2005-09-12 02:24:24
    Absolutely marvellous. by Esteis2005-09-12 02:34:42
  Second question: by Esteis2005-09-12 03:04:16
    NB: These xs (prolly) refer to different values. (n/t) by Esteis2005-09-12 03:05:13
      Never mind, got an offline answer. by Esteis2005-09-12 03:10:46
  Got a TI-89? (n/t) by jmaxsohmer2005-09-12 06:13:44
    Casio, actually. But Mathematica is even better. ( (n/t) by Esteis2005-09-12 10:20:02
      I've yet to meet anything my TI-89 couldn't beat. (n/t) by jmaxsohmer2005-09-12 15:21:39
  I'd think that MOST are 0 by SciSSorS2005-09-12 06:18:34

 

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