So, what I learned this week:
~Malerie can sing
~Malerie can have the patience of a saint
~The Saints are cheating
~My street has some kind of invisible force field that does not allow rain or snow in
~Louisiana's weather can fluctuate from snow to sweating heat in 12 hours
~There's not enough time in the day to do Calculus, understand it, re-do what you didn't understand, work for your 6 other classes, eat, shower, and live at the same time...end of story
~I'm going to need mental help after this class to A) tell me if psychologists REALLLLLY use tons of Calc B) see if I can get some lost sanity back
~It's extremely convenient to have a best friend in Advanced Math that you can get graphing rules from
~Apparently, I've been doing integration wrong THE ENTIRE TIME I'VE BEEN DOING IT
~The correct way of integration is so much easier than what I was doing
So
Let me explain SIMPLY how to do integration (btw, I think having a little sister helped Malerie explain to me what I was doing wrong..)
Integrate: 4x^2 + 3x + 4 dx
Step 1. add one to the exponents
___x^3+___x^2+___x
Step 2. divide the coeff by the new exponent
4/3x^3+3x^2+4x
TA DA!!
What I was doing was..no I'm not going to even bother trying to explain what goes on in this black abyss that I call a head and confuse people =]
Now for what I don't get:
How to identify fraction integration!
There's trig identities, ln integration, etc!
If you can make up, delete, and flat out ignore numbers, how do you know what to do?
Also, THOSE CLICKER QUIZZES!!
Can I just say "AHHHHH!!" Just when I thought I might have a shot in this class v.v How can you identify what to do, how to do it, and work it in such a short amount of time??
Math and I just don't click. (Haha)
How can I fix that?
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ln integration is fairly simple. most of the time... the top of the fraction will be the derivative of the bottom. For examble.. lets say you have 2/2x.. this is ln integration. your u would be 2x and your du would be 2. So your final answer would be ln|2x|+C.. hope this helps girl!
ReplyDeletenatural log integration actually isn't as hard as it seems. msot of the time, the top of the fraction is the derivative of the bottom of your fraction, just like trina said, ex: 4/4x.. but sometimes you have to substitue in something.. like you were given 1/4x, you would need to substitute in a 4 because the derivative of 4x is 4, not 1. so your u=4x du=4dx, and you would simply but a 1/4 in front of the integration symbol. this is ln integration.
ReplyDeleteRight, I understand that, but if you can just randomly add numbers to make it that, how do you know you're not adding the wrong numbers and then going to do something else whenever it should be another thing? =/
ReplyDeletei just learned ln integration because i didn't know it before, and it was explained to me the same way as up there. the top of the fraction is the derivative of the bottom, so the bottom is u, and the top is du. so if you had 4x+2/2x^2+2x, the 2x^2+2x is the u, and 4x+2 is du. so the final answer would be ln|2x^2+2x|+c. and that's it
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