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nick9191

macrumors 68040
Original poster
Feb 17, 2008
3,407
316
Britain
Firstly, I am not asking anybody to do the work for me, just wondering if any kind soul could explain what the hell I am supposed to be doing.

The average number of birds in thousands in the wetlands nature reserve in the first year is given by

-
y = (elongated S with a 1 above it and a 0 beneath it) (-t^4 + 4t^3 - 5t^2 + 2t)dt

Use integration to find the value of (above equation) and hence find the average number of birds in the wetlands reserve during this first year.
 
Looks like you need to learn how to integrate, I'll do the question for you, but you can learn how to do it here:
http://www.youtube.com/watch?v=aw_VM_ZDeIo

BTW You cannot integrate if you don't know how to derivate. If you don't know how to either integrate or derivate and are asked to do a question like that then you have a lot of studying to do!

Picture1-26.png
 
elongated S with a 1 above it and a 0 beneath it

ROFL

But yeah, Burnsey's right. Basically increase the power by one and divide by the new power. You can take constant multiples outside the integral, and split the integral of sums in to the sum of integrals.

Interestingly, I thought the Americans called the reverse process differentiation. That's what we use in the UK. Apparently, we used to use 'dis-integration', but it was too much fun going and disintegrating functions, so it was changed :( That's got to be an urban myth. Mathematicians would no way change something that cool.
 
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