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anonymous
 5 years ago
what is the integral of 1/x^2
anonymous
 5 years ago
what is the integral of 1/x^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i dont even think its possible .

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, you can let u = x and du = dx and solve :) loki will show you the steps ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You just look at it like this,\[\int\limits_{}{}\frac{1}{x^2}dx=\int\limits_{}{}x^{2}dx=\frac{x^{1}}{1}+c=x^{1}+c=\frac{1}{x}+c\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0integral x^(2) Just add one to the exponent and divide by the result

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Same deal. Don't be put off by the negative sign. Also, if you ever have a number that's not an integer, don't be put off by that either: add 1 and divide by the result.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Usual method...just the same you're used to when you integrate something like\[\int\limits_{}{}x dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}{}x^ndx=\frac{1}{n+1}x^{n+1}+c\]where n is any (real) number.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Here you started with n=2.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Damn I overcomplicated that

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0slightly... dudee i used u sub, uv vdu sub, pfd, random stuff i could come up with.. i WAYYYY overcomplicated it :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, you should calm down.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0probably, so the integral of lnx/x^2 is lnx/x  1/x +c

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You can check by taking the derivative of your answer. If it's right, it should equal the integrand (the expression inside the integral). It's the Fundamental Theorem of the Calculus.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I get a minus outside of your lnx/x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you say that to everyone who askes for conformation lol and my bad, i left it back in uv vdu sub .

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You should learn a method called, 'Tabular Integration by Parts'. If you understand the theory, it's good to know this method because you can punch out IBP problems with a lot less hassle. There's a good explanation about it here: http://en.wikipedia.org/wiki/Integration_by_parts under, ironically, 'Tabular Integration by Parts'.
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