∫sin(ax) / xp dx interval: [0, ∞]
converges if 0 < p < 2.
This is the chapter where we learn that ∫f(x)g(x)dx converges if ∫f(x)dx is bounded and g'(x) is continuous, g'(x) < 0, and g(x) --> 0.
The Attempt at a Solution
I can't figure out where to start. Should I use g(x) = 1 / xp ?