integration by parts

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  1. Emissionspectra's Avatar
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    integration by parts
    \int3xsin2xdx with limits 1/2 pi and zero

    [-3/2cos2x+3/4sin2x] is what i end up as my integral then when i sub the limits i keep getting a three for my answer. Can't get it to latex properly to show my working, but does that integral seem correct?
  2. Brit_Miller's Avatar
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    • Location: Bristol
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    Re: integration by parts
    Looks right.
  3. Emissionspectra's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,417
    Re: integration by parts
    (Original post by Brit_Miller)
    Looks right.
    am i just subbing in the limits wrong or something stupid like that; what do you get when you sub the limits into that?
  4. Brit_Miller's Avatar
    • Benevolent Member
    • Location: Bristol
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    Re: integration by parts
    (Original post by Emissionspectra)
    am i just subbing in the limits wrong or something stupid like that; what do you get when you sub the limits into that?
    I'll write it out, it just looked right looking at it, I'd better check.
  5. SilentIdea's Avatar
    • Exalted Member
    • Location: South Wales
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    Re: integration by parts
    (Original post by Emissionspectra)
    \int3xsin2xdx with limits 1/2 pi and zero

    [-3/2cos2x+3/4sin2x] is what i end up as my integral then when i sub the limits i keep getting a three for my answer. Can't get it to latex properly to show my working, but does that integral seem correct?
    I think ur missing an x here. -(3/2)xcos(2x)
  6. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: integration by parts
    (Original post by Emissionspectra)
    \int3xsin2xdx with limits 1/2 pi and zero

    [-3/2cos2x+3/4sin2x] is what i end up as my integral then when i sub the limits i keep getting a three for my answer. Can't get it to latex properly to show my working, but does that integral seem correct?
    (Original post by Brit_Miller)
    Looks right.
    Mistake here.

    It should be,  \displaystyle \left[\frac{-3xcos2x}{2}\right] ^{\frac{\pi}{2}}_0 + \left[\frac34sin2x\right]^{\frac{\pi}{2}}_0
  7. Brit_Miller's Avatar
    • Benevolent Member
    • Location: Bristol
    • Posts: 686
    Re: integration by parts
    (Original post by SilentIdea)
    I think ur missing an x here.
    Yep, just realised that when I wrote it out.
  8. Emissionspectra's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,417
    Re: integration by parts
    (Original post by SilentIdea)
    I think ur missing an x here. -(3/2)xcos(2x)
    Ye i see it now urgh ah well got it correct now; thanks
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