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Mathematics 15 Online
OpenStudy (linyu):

someone please check if i correctly integrated this question.

OpenStudy (whpalmer4):

go ahead and post it, eh?

OpenStudy (linyu):

OpenStudy (linyu):

thanks in advance, and sorry that it's in vertical

OpenStudy (whpalmer4):

I think you're missing a negative sign...

OpenStudy (linyu):

@whpalmer4 can you show me in a work?

OpenStudy (whpalmer4):

I need to go, so I don't have time to figure out where exactly you made the error, but both terms should be negative...

OpenStudy (linyu):

@whpalmer4 thanks for your time

OpenStudy (linyu):

@Loser66 plz help me when you can

OpenStudy (anonymous):

Loser is not here, how about OOOPS? hehehe

OpenStudy (linyu):

@OOOPS wolfram alpha might have it wrong on this question

OpenStudy (whpalmer4):

That seems unlikely, as if you ask it to differentiate the result, you get your integral back: http://www.wolframalpha.com/input/?i=differentiate+-sqrt%28x%5E2-9%29%2F%282x%5E2%29+-+%281%2F6%29arctan%283%2Fsqrt%28x%5E2-9%29%29%2BC

OpenStudy (whpalmer4):

Here's how it arrived at the integral result:

OpenStudy (linyu):

@whpalmer4 The derivative clearly explains this. https://www.wolframalpha.com/input/?i=derive+1%2F6arctan%28sqrt%28x%5E2-9%29%2F3%29-sqrt%28x%5E2-9%29%2F%282x%5E2%29

OpenStudy (linyu):

and for 1/6arctan(sqrt(x^2-9)/3)=-1/6arctan(3/sqrt(x^2-9) x does not exist

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