Recent content by SYoung

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    Amplification of an integrator and a differentiator

    Okay I think, after reading reading that link you gave me, I've got a better understanding of it now. Not 100% clear, but I was just curious about it and I'm really tired. Just had prelims/exams [SIZE="1"](what do you call it again? :smile:) the last 2 weeks. Anyways, Thanks a lot!
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    Amplification of an integrator and a differentiator

    Well... nothing about these 4 terms, really. We didn't attend this part of the integrators to the matter at all but I'm just curious about it! ^^ For ω, I understand what 1/RC means. But not where it comes from, what's behind it? And j, 90°? Does this mean the real wavelenght is 1/2π earlier...
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    Amplification of an integrator and a differentiator

    Homework Statement The amplification of an integrator is: A = Vout/Vin = -Zf/Zin = +j * 1/(ωRC) The amplification of an differentiator is: A = Vout/Vin = -Zf/Zin = -jωRC Although, that's what my book says. Not that I doubt it.. But really, what do Zf, Zin, j...
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    Integrals with partial fractions

    Sure any example is fine! Ah so if you fill in ((6x+5)/3 - 14/3) in stead of (2x-3) you get: ((6x+5)/3 - 14/3)/(6x+5) = 1/3 - 14/3 So what you basicly want is to have the same terms (or do you call it values?) in the denominator and numerator, right? Allowing you to easily divide it...
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    How is integration of a division done with partial fractions?

    Thanks for the advise and help everybody. I'll review the polynomial long division in a few days. I've got exams this week so there's no time left for reviewing. Thanks again and see you around! :smile:
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    How is integration of a division done with partial fractions?

    ah now I see.. how could I've been so blind <_< so you give the denominator and the numerator the same values so you can divide them by each other. Giving you the 1/2 - (3/2) * 1/(2x+1) in this case! Thanks a lot! [SIZE="1"]I was about to give up on this one since I'm running out of...
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    How is integration of a division done with partial fractions?

    So as this tutorial says: (x-1)/(2x+1): x/2x = 1/2 then I carry the x and -1 below change the signs so they cancel out. so 2x+1 goes 1/2 times into x-1? That should be the first part of the integral.. looks like I'm dividing the diratives. But what about the -(3/2)?By the way, I'm really...
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    How is integration of a division done with partial fractions?

    And that's what my problem is. I forgot how to do long division, it has been 5 years! That's why I asked if somebody could please show it step by step for this integral. I hope I can remember how it's done again once I see it. [SIZE="1"]I think you didn't read the whole first post
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    How is integration of a division done with partial fractions?

    [SIZE="1"]This has been posted in another, but the wrong, section of the forum. That's why there are already quotes in it. Hello, Homework Statement I don't understand a step in the following integral: ∫(x-1)/(2x+1)dx = ∫(1/2)dx − (3/2)∫1/(2x+1)dx = (1/2)x − (3/4)ln|2x+1| + C The...
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    Integrals with partial fractions

    EDIT: I think I posted this in the wrong section of the forum. My apologies. So I have no need for further instructions in this thread. Thank you. Thanks! :smile: Wow that has been a looooong time! Could you please show it step by step how it's done in this case? I hope I can remember the...
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    Integrals with partial fractions

    Hello, I'm don't understand a step in the following integral: ∫(x-1)/(2x+1)dx = ∫(1/2)dx − (3/2)∫1/(2x+1)dx = (1/2)x − (3/4)ln|2x+1| + C The first step, where you get the 2 integrals ∫(1/2)dx and -(3/2)∫1/(2x+1)dx Where do (1/2)dx and -(3/2) come from? And where does (3/4) come...
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