it's always good to meet a fan
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it's always good to meet a fan
what's 2+2 please
&@$* &%^(@$(*^#(@%$#^ *robot noises* beep babeep babepp
4
buzz buzz
okay guys i said tomorrow we'll touch on integrals, the second half of calculus; who wants to know how to find the area under curves?
well too bad if you dont because im going to type it out anyways
to find the area under a curve in the x^2+mx+b format, we first need to find what is called an anti-derivative; for simple x^2+mx+b curves, finding the anti derivative is simple. First, throw out the constant, 'b', you don't need it. Now, what you're going to do, for each piece of the x^2+mx function, you simply need to add 1 to its exponent then divide that piece of the equation by whatever number the exponent now is.
the antiderivative of x^n will be (x^(n+1))/(n+1)
so, for the curve y=x^2, the antiderivative will be (x^3)/3.
To find the area underneath that curve between the lines x=1 and x=3, simply plug both of those x values into the anti-derivative, and subtract.
So, for the area between x=1 and x=3 under the curve y=x^2, we plug 3 into the antiderivative (which is (x^3)/3) getting 9, then plug 1 into the antiderivative getting 1/3.
9 - 1/3rd is 8 and 2/3rds, so the area is 8.6666666666 squared
you now know integrals, the second half of calculus
Oh you're still doing this
Why?
the reason you dont need the constant is because you can find the remaining area under the curve using your standard length*width rule for finding the area of rectangles
because now no one needs to sit through months of abysmal lectures to learn calculus, i just summed it up in less than 2 pagesQuote:
Originally Posted by Dirty Beatle
of course it does get more complicated, like finding the area under sin waves and shit, but if you need to know that then you should probably go to school for it
lisa youre a maniac on the floooooor
oh god im drunk, please don't start hitting on lisa again, please
no thanks
=\
i mean uhhhhh fuck, shit, whyd you have to date my long-time forum buddy, i literally cant hit on you now, i hope you know that
*starts dancing anyways*
i littlerely want to throw upQuote:
Originally Posted by Plug Drugs
Unbelievable. Time Distortions. Space is the place, Mean Gene Okerlund. Go down that lonesome highway, yeah! But don’t be hypnotized, no. Reincarnation doesn’t have to be. You can concentrate and you can, uh, mental telepathy, yeah!
He says I can’t sing and I can’t dance, but I can make romance, yeah! Right there the fork in the road. I said go right, Elizabeth said go left. I went right and then, and then, I understand what the situation was. I went over that one bridge, yeah. And then, when I crossed that bridge I found out that I was on the right side. And I said Elizabeth follow me, yeah! Because I’m going straight to the top! The stars, yeah the stars. One shining star in the night shining brighter than all the other ones! And I’m talking light years away, yeah.
that was too much we didn't read it can you make it shorter just a simple bullet in your brainQuote:
Originally Posted by Plug Drugs
almost makes you feel bad for lisa of all people on this earthQuote:
Originally Posted by Autistic Spectrum
I EXPLAINED IT TO YOU IN TWO FUCKING POSTS, FUCKING LEARN IT
IS IT TOO MUCH OF A HASSLE TO SIT AROUND DREAMING OF MAKING MONEY SITTING ON ASS TO LEARN BASIC MATH YOU SHOULD HAVE LEARNED IN HIGH SCHOOL
GET ON IT
couldn't even read all that
of course you couldnt you retard
dude, just sift through those 2 posts, just fucking learn it quick