samedi 31 janvier 2004

Intergrals and antiderivatives

I need to take a break from Sociology homework. So here's something fun for you all to see:

ƒ (pretend this is an intergral sign, without the dash)

ƒ 2pi
   0   cos x/4 dx
= ƒ 2pi
      0   cos 1/4x dx
= 4 sin 1/4x] 2pi
                    0
= [4 sin 1/4 (2pi)] - [4 sin 1/4 (0)]
= 4 sin pi/2 - 4 sin 0
= 4 (1) - 4(0)
= 4

m = x1/2 + 2 (9, 10)
m = f'(x)
f'(x) = x1/2 + 2
F(x) = x1/2 + 1 / 3/2 + 2x + C
y = 2/3x3/2 + 2x + C
(10) = 2/3 (9)3/2 + 2 (9) + C
10 = 18 + 18 + C
-26 = C
y = 2/3x3/2 + 2x - 26

Amazing how stuff like this flies out of your brain so quickly isn't it? I no longer have a single clue what this stuff means. Seeing this makes me appreciate my classes all the more right now :) Well, I'm off to see Win a Date. Then I have to be at church tomorrow morning at 7am - oh the inhumane time!

[Listening to: Come One, Come All - MercyMe - Spoken For (03:50)]

Libellés :