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One thing you could try is to set 
. This makes 
, so that 
, and 
. So the integral is
A "trickier" way to do it is to write
so you could decompose the integrand into partial fractions. But that's more work than needed.
A "trickier" way to do it is to write
so you could decompose the integrand into partial fractions. But that's more work than needed.