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December 20, 2014

December 20, 2014

Posted by **Carmen** on Wednesday, March 3, 2010 at 4:24pm.

1) definite integral x/(1+x^4)dx b/w 0_infinity

2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity

3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity

4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity

Which of these integrals converge. First of all, what does it mean "converge"? How do you compare to "pure" powers of x?

How would you compute the exact value of at least one of the convergent integrals?

thanks

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