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Mathematics 10 Online
OpenStudy (anonymous):

integral

OpenStudy (anonymous):

ikram can you help me plz

OpenStudy (anonymous):

|dw:1407183898168:dw|

OpenStudy (anonymous):

i used u-subs, but didnt works

myininaya (myininaya):

seeing a polynomial over a polynomial where the top polynomial has greater degree i first instinct almost always but not always is to try long division first and i may end up looking at doing that partial sum thing

myininaya (myininaya):

partial fraction thing*

OpenStudy (anonymous):

and i knowed the answer through the wolfram, but i dont know where the start to do this...

myininaya (myininaya):

oops sorry missed that 4 down there

myininaya (myininaya):

lol the top doesn't have greater degree so scratch that

myininaya (myininaya):

skip to partial fractions now

OpenStudy (anonymous):

can someone help me plz

OpenStudy (solomonzelman):

I would factor x² from top and bottom, this will get me little weird fractions, and sub u for `x²+{1/x}`. Then use \[\int\limits_{ }^{ }\frac{1}{u}=\log(u)\]with the power rule

OpenStudy (solomonzelman):

The answer would not be ugly :)

myininaya (myininaya):

omg solomon that is so beautiful

OpenStudy (solomonzelman):

Really? It is my 4th problem about integration that I answered so far :)

myininaya (myininaya):

solomon's way would be a lot quicker

OpenStudy (anonymous):

ohh... |dw:1407184649270:dw|

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