##### 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 = x^{1/2} + 2 (9, 10)

m = f'(x)

f'(x) = x^{1/2} + 2

F(x) = x^{1/2 + 1} / 3/2 + 2x + C

y = 2/3x^{3/2} + 2x + C

(10) = 2/3 (9)^{3/2} + 2 (9) + C

10 = 18 + 18 + C

-26 = C

y = 2/3x^{3/2} + 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!

Libellés : college