Can someone help me. I got this question which I can't solve (I'm not really good at this). Anyway, I have here: {(X+6) / (X+2)^2} dx and I have to find the integral of it...well our teacher said it's quite challenging and it really is...can someone care to help?
we learned that long time ago.. i forgot it kinda.. it's a type of division that will actually show you a visual remainder.. ughh.. i don't understand it either..
Part of the fun in calculus is figuring out what trick will be used, and some teachers may give one or two "interesting" problems on a test. I saw one problem on a test that called for multiplying by a conjugate and then remembering a trigonometric idenity, which was sine squared plus cosine squared = 1.
You're right, figuring out what trick must be used is part of the fun but it's also what makes calculus quite difficult from a certain point. Some people find the trick rapidly and some don't. I love calculus but i'm not good at figuring out what trick or what identity must be used...irony :)
It is indeed helpful to remember that the radical in the denominator (which is 1/2 power) may simply call for the power rule in reverse (for integration), but other times the radical in the denominator calls for trigonometric substitution in some cases, or certain formulas that involve inverse functions.
Very helpful indeed. I like the idea of keeping the videos short. In that way there is no problem to keep focus on the subject. Nice complement to my calc. textbook.
precisely :). Elegance is one of the most beautiful things about Mathematics :D. Besides the more elegant it gets, sometimes you learn more about the relationships in the process. Afterall, that's how some of the greatest relationships in mathematics have been found :). Nice explanation :).
because once u differentiate for u, either the top or bottom, you are looking for an x to the 1 power to put it back in, and there is not one either way
first of all teachers are not audible to the last benchers and there writing is worst and they use pens with few drops of ink left out
and right when u understood the first half of the problem they simply rub it off the board and when u dont get nice grades they start making fun of u in the class
this is awesome
shirleybreeze 1 year ago
i dont get the trick in the last integral too
vhdesouza 1 year ago
THANKS OLD MAN..THANKS MATH TV
MrSuperdrama 1 year ago
This person reminds me of Dexter! Look at the similaritys in facial expression :D
mikkrobio 1 year ago
Can someone help me. I got this question which I can't solve (I'm not really good at this). Anyway, I have here: {(X+6) / (X+2)^2} dx and I have to find the integral of it...well our teacher said it's quite challenging and it really is...can someone care to help?
blackdefender 1 year ago
thanks for this video..its a big help for my exam today
maj2much 1 year ago
i dont understand the last integral, what's long division ?
MrRkesh 2 years ago
we learned that long time ago.. i forgot it kinda.. it's a type of division that will actually show you a visual remainder.. ughh.. i don't understand it either..
Balkance 2 years ago
@MrRkesh google 'polynomial long division wiki'
Never1st 1 year ago
Thanks so much for this. Looks like I'll be passing my calc test!!!
xReirax 2 years ago
hi i had a problem in one question in integration by substituition the question is
x / under root x+3 dx, if u can help me
shankylalia01 2 years ago
omg like these problems are easy compared to the 20 parts ones my teacher gives us. i dont know about you but i like easy :)
Brain704 2 years ago
Part of the fun in calculus is figuring out what trick will be used, and some teachers may give one or two "interesting" problems on a test. I saw one problem on a test that called for multiplying by a conjugate and then remembering a trigonometric idenity, which was sine squared plus cosine squared = 1.
MICHAELMEMISBACL 2 years ago
You're right, figuring out what trick must be used is part of the fun but it's also what makes calculus quite difficult from a certain point. Some people find the trick rapidly and some don't. I love calculus but i'm not good at figuring out what trick or what identity must be used...irony :)
jackysspauli 2 years ago
It is indeed helpful to remember that the radical in the denominator (which is 1/2 power) may simply call for the power rule in reverse (for integration), but other times the radical in the denominator calls for trigonometric substitution in some cases, or certain formulas that involve inverse functions.
MICHAELMEMISBACL 2 years ago
hey uncle, another great video of yours :)
gcash2009 2 years ago
Integral calculus is so much fun.
Ritzoid 2 years ago 9
This has been flagged as spam show
Im sorry guys but you will find a bloody body hanging in your closet it will haunt you unless you send this to 6 videos in 30 min
sorry
whateffbitch90 2 years ago
this guy is better than my calculus professor
D1zast3r 2 years ago 2
This has been flagged as spam show
There's good AP Calculus help online on the mathnetap website
gillent 2 years ago
yes.. agree..it is obscene..
anthonychemistry 2 years ago
that last solution was a little out there, no normal student is gonna think to use variable division
didsomebodysayme 3 years ago
Actually, in my university, we need to use it at times...
djambe 3 years ago
Your exactly right, in some cases knowing variable division will separate the A students from the normal students.
jindassasin 2 years ago
lol i use it in ap calc at times. weve even had the same exact problem...
b0rd2dEAth 2 years ago
we use it at WVU
wall12390 2 years ago
Yea this guy rules.
cocoabean 3 years ago 2
what if he used the wrong marker?
kazlon1 3 years ago
Very helpful indeed. I like the idea of keeping the videos short. In that way there is no problem to keep focus on the subject. Nice complement to my calc. textbook.
lrzn88 3 years ago
hmm...why can't the final one be solved by substitution?
chrisortiz713 3 years ago 3
You can get the correct result using integration by substitution.
However, in this case you will be using a hammer to crack a nut.
Mathematics for the purists is about finesse, not brute force.
DerbyshirePoacher 3 years ago
precisely :). Elegance is one of the most beautiful things about Mathematics :D. Besides the more elegant it gets, sometimes you learn more about the relationships in the process. Afterall, that's how some of the greatest relationships in mathematics have been found :). Nice explanation :).
Entertainmentwf 3 years ago
because once u differentiate for u, either the top or bottom, you are looking for an x to the 1 power to put it back in, and there is not one either way
danknugzorz 3 years ago
man iam so jelous of americans
we as indians have many trouble in the class
first of all teachers are not audible to the last benchers and there writing is worst and they use pens with few drops of ink left out
and right when u understood the first half of the problem they simply rub it off the board and when u dont get nice grades they start making fun of u in the class
damn i hate indians and india on this note
adityashaha 3 years ago
This is an amazingly helpful/straightforward resource..Love it. Screw my Calc. Prof., the confusing fool he is
airegalado 3 years ago
Thank you soo much! That helps!!
dekitai20 3 years ago
this is the best cal resource ive found outside of class, and that includes the textbook.
DeafGecko 3 years ago
Thanks for the video. It was very helpful.
xroyaldevilx 3 years ago
way better than my teacher. thanks. this really helps.
rodogg2092 3 years ago
I have passed tests based on what you teach me, not what my lecturer teaches, thankyou very much
benbear79 3 years ago
Kudos. Very clear. My absent students will benenfit.
maylien 3 years ago
lol, uhoh that may include me..Prof Yuzik?? haha, jkjk
airegalado 3 years ago
you are awesome. thanks
razzzzzzzz 4 years ago
you should of finished how to do that problem from integrals 5 =(
arod889 4 years ago 12
@arod889 he said it cant be done if youre talking about the last one
ajordanb13 1 year ago