- #1

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intergal from (0 - ∞ ) of

[tex]\int[/tex]dx/(x^p +x^q)

i know that both [tex]\int[/tex]dx/(x^p) and [tex]\int[/tex]dx/(x^q) will converge when p,q>1 and i know that is smaller than either [tex]\int[/tex]dx/(x^p) or [tex]\int[/tex]dx/(x^q) alone since x>0, the denominator will be bigger so the fraction will be smaller.

so p,q>1 converge

but i don't think this is a proper answer, since as far as i see it is a possibility but not necessarily the only one,

how do i reach the correct answer?