Recent content by Silva_physics

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    Efficiently Separate Complex Expressions | Simplify Fractions

    Separate the fraction!:) Hi! Could somebody can me, please? I want to separate this expression ([G + 1/T]*Omega^2) / ([4*Delta^2] + [G + 1/T]^2) into two parts so that one would be (G * Omega^2) / (4*[Delta^2 + G^2/4]) or separate this expression Omega^2/(4*[Delta^2 + G^2/4]) into two...
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    Proving d<r>/dt = <dr/dt>: A Case Study

    PLEASE, help me, the homework's deadline is approaching!
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    Proving d<r>/dt = <dr/dt>: A Case Study

    Let <r> (t)/dt= 1/2Pi * Integrate[r(t)*dt,{r,t-Pi,t+Pi}] denote the running average of r over one cycle of the sinosoidal oscillation. I have to show that d<r>/dt = <dr/dt>, it does not matter whether we differentiate or time-average first. Should I work with Leibniz rule? Can I use...
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    Multiplication with modulus of function

    = Cos^2(theta)
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    Multiplication with modulus of function

    Hi! Could anybody, please, tell me: whether |Cos(theta)|*Cos(theta) = Cos^(theta) , because it means that only positive values of Cos(theta) are taken. Am I right?:shy:
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    How Do You Integrate the Function |x|/x?

    Thanks a lot for the great answers!:)
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    How Do You Integrate the Function |x|/x?

    Oh, Thanks:) I feel here like at home:D
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    How Do You Integrate the Function |x|/x?

    Ok, thanks, I thought about it, so in the cases x>0,x<0 it is 1 and in x=0 it is 0, that's all?
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    How Do You Integrate the Function |x|/x?

    Hi! Could anybody, please, help me with integrate this: Integrate[ (|x| / x) dx] Thank you:)
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