anonymous
  • anonymous
My achilles heel....
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1439113245283:dw|
anonymous
  • anonymous
These types of integrals have always been hard, Id appreciate any step by step explanation :)
IrishBoy123
  • IrishBoy123
|dw:1439113617615:dw|

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IrishBoy123
  • IrishBoy123
|dw:1439113662435:dw|
UsukiDoll
  • UsukiDoll
ah long division. because the exponent in the denominator is higher than the one int he numerator.
anonymous
  • anonymous
Usuki!! :)
UsukiDoll
  • UsukiDoll
do you know long division?
anonymous
  • anonymous
kind of, I think I do.
UsukiDoll
  • UsukiDoll
I have faith in you . you can do it ;)
imqwerty
  • imqwerty
^ :D
anonymous
  • anonymous
Im afraid faith cant save u or me...help:)?
UsukiDoll
  • UsukiDoll
@imqwerty is a good helper. He will guide you ! :D
anonymous
  • anonymous
bhaiya help?
imqwerty
  • imqwerty
•_•)
anonymous
  • anonymous
haha dont we all have to do that :)
anonymous
  • anonymous
Back to my problem yaar...I got the last exam in calc 2 ever given in sweden, no chance to fail this.
anonymous
  • anonymous
Guys....my problem?
IrishBoy123
  • IrishBoy123
|dw:1439114866925:dw|
IrishBoy123
  • IrishBoy123
finish it off now?
UsukiDoll
  • UsukiDoll
don't we have to switch signs for polynomial long division though?
imqwerty
  • imqwerty
|dw:1439114837536:dw|
UsukiDoll
  • UsukiDoll
how the....... O_O @imqwerty what did you do?
imqwerty
  • imqwerty
:D
anonymous
  • anonymous
Guys those methods u showed I dont know them....
imqwerty
  • imqwerty
|dw:1439115065102:dw|
nincompoop
  • nincompoop
he used factorization to break the denominator
UsukiDoll
  • UsukiDoll
what! everyone should know long division by now. as for those separate integrals.. I see log and arctan
UsukiDoll
  • UsukiDoll
I know that we can use factorization on the denominator to get x (x^2+1) . I'm talking about the numerator part. @imqwerty got it uber fast.
anonymous
  • anonymous
alright go on imqwerty.
UsukiDoll
  • UsukiDoll
I'm 94 SS NOW! XD!
nincompoop
  • nincompoop
that is not how you properly break the sum of terms with denominator although they yield the same quotient
imqwerty
  • imqwerty
i broke the equation into 2 parts nd spiltted them nd now we get a cute thing which can be solved easily :)
UsukiDoll
  • UsukiDoll
. We know that the exponent in the denominator is huge than the one in the numerator so we need to use long division to fix this problem
anonymous
  • anonymous
|dw:1439115395683:dw|
anonymous
  • anonymous
but @imqwerty what happened to 2x^2+x+2?
UsukiDoll
  • UsukiDoll
that's what I'm wondering too... for the numerator.
imqwerty
  • imqwerty
did u get how i broke the equation??
UsukiDoll
  • UsukiDoll
I got the steps after the equation got broken up
anonymous
  • anonymous
could u break the equation, thats the only unclear part. otherwise it was very fast and welldone.
nincompoop
  • nincompoop
I get how you did it but we do not know how the terms are properly constructed to yield the sum of terms I do not think that is mathematically sound: \(\large \frac{2x^2}{x^3+x}+\frac{x}{x^3+x}+\frac{2}{x^3+x} \rightarrow \frac{2x^3}{x(x^2+1)}...\)
IrishBoy123
  • IrishBoy123
|dw:1439115692868:dw|
imqwerty
  • imqwerty
try takin LCM of those those to terms nd u'll see the original equation appears ok in such questions in which both the numerator and denominator have x our strategy shuld be to break the equation into parts so that all the x terms vanish frm the numerator
IrishBoy123
  • IrishBoy123
|dw:1439115748311:dw|
imqwerty
  • imqwerty
now what i did = (2x^2 + x +2)/(x^3 + x) =2/x + 1/(x^2+1) if u solve this^ then we get ------> [2(x^2+1) + x]/[x(x^2+1)] =(2x^2 + x+2)/(x^3+x) we did nothin wrng we jst altered the equation so as to make it easy to differentiate :)
nincompoop
  • nincompoop
clever I must say
imqwerty
  • imqwerty
|dw:1439116006175:dw|
imqwerty
  • imqwerty
:D
IrishBoy123
  • IrishBoy123
|dw:1439116107993:dw|
imqwerty
  • imqwerty
|dw:1439116153915:dw|
IrishBoy123
  • IrishBoy123
|dw:1439116237448:dw|
anonymous
  • anonymous
thnx, this wasnt easy I must say.

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