What's a good site for learning integrals?

[yankeesfan]

My text-book sucks and I have a test tomorrow. Thanks.

 

[Modeps]

YANKEES SUCK!
PAY ATTENTION IN CLASS!
http://en.wikipedia.org/wiki/Table_of_integrals

I don't know if that link will work for what you want though.

 

[purbeast0]

Best Site

 

[WildHorse]

Originally posted by: purbeast0
Best Site

And another.
Just read this one brief page and it pretty much covers the basics.

 

[DrPizza]

I'm thinking that the best "site" would be the classroom while the teacher was teaching it. Show up, sit up front, and if you don't understand, ask questions. Sounds like it's too late for that though.

Basically, most calculus classes boil down to just a few simple methods.

1. Just a simple integration (the integral is the answer to a derivative that you've memorized.
2. u-subsitution. Pretty simple.
3. integration by parts, sometimes called "u dv substitution."
4. regular trig substitutions (i.e. power reduction formulas for cos^2 and sin^2 = (1 +/- cos2x)/2, etc.
5. "tricky trig" substitutions where you replace an x (most often when x is squared and under a square root) with one of these trig functions: sin, tan, or sec. Example: sqrt(16-x^2), let x = 4sin(theta). find dx, and substitute for dx and all the x's. that sqrt simplifies to 4cos(theta) using a very basic identity.
6. partial fraction decomposition. Break the big fractions into baby fractions. Sometimes you have to long divide first.
7. end table integrals; find the integral on the table that looks the closest; sometimes requires a little finesse and substitutions to make it exactly the same.

Hmmmm... I'm blanking out - I can't think of any other common types.

Since your test is tomorrow though, I'd pretty much say you're screwed unless you've mastered a few of those methods. u-substitutions and integration by parts normally takes quite a bit of practice before students are adept at doing it. You shouldn't have waited until the day before the test! What I refer to as "tricky trig" substitutions are a simple art to learn, but again, one that requires practice before you can expect any sort of mastery. Partial fraction decomposition is pretty simple - 90% of the work is pre-calculus type stuff. Most of the integrals you encounter are very simple once you've decomposed your fraction. Using the end table integrals is one of the more challenging to master, unless your teacher gives you very basic simple integrals to do.

 

[XZeroII]

http://www.howtodogirls.com/episodes/s1e1_intro_to_bikini_calculus.php

Everything I need to know...

 

[AgaBoogaBoo]

Originally posted by: DrPizza
I'm thinking that the best "site" would be the classroom while the teacher was teaching it. Show up, sit up front, and if you don't understand, ask questions.

Just wanted to add that learning math isn't fun and I have trouble staying awake many times. I sit myself in the first row almost right infront of the professor, much harder to fall asleep there. Even if you nod off into a short sleep here and there or something, this alone will help you *a lot* because you will have heard everything once and seen it once.

It works for me and I'd recommend trying it. It's a PITA, but it works for me.

 

[Gibson486]

sosmath.com