let u = x/n
ndu = dx
thus I becomes
I = lim(n-> ∞) n∫ sin(u) / (1 + u)^n du
Using reduction....
=> I = lim(n-∞) n[ - (sinu)/(n-1)(1+x)n-1 + [1/(n-1)] * [∫ cosu/(1+x)n-1 ]du
Definite Function is still between 0 and ∞ for u = x/n
As n -> ∞, we see that - (sinu)/(n-1)(1+x)n-1 = 0
and...
A lack of oxygen molecules, meaning the compounds created a vasely different that with enough oxygen.
Ie. the burning of coal in a restricted oxygen space creates Co instead of Co2
uh... it just wants you to differentiate
xlnx with respect to x
Just use the product rule:
Let u = x v= lnx
u' = 1 and v' = 1/x
Therefore d/dx (x lnx) = uv' + vu' = x(1/x) + 1(lnx)
= 1 + lnx
Re: easy motion question
Looks like differential equations
1. a = 2t^2 + 1 and v = 2 and x = -1 when t = 0, find x when t = 4.
a = 2t^2
=> dv/dt = 2t^2 ..................multiply by dt each side
=> dv = 2t^2 dt ....................integrate
=> v = t^3 + c ...................v = 2 when...
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You are not supposed to rely on teachers, learn the stuff yourself. And if you aint interested, and continue to disregard the importance of your subjects, it will all come back to haunt you one day. Take a look around Bankstown station.
Through the doorways of destiny I go...
What comes next, I don't really know...
something something something
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