1. The problem statement, all variables and given/known data So I have a problem with the integral ∫ sin(x)/x^0.1dx from pi to infinity My teacher said this wouldn't require any maths beyond calc 3, but for some reason I cannot come up with a solution. 2. Relevant equations 3. The attempt at a solution I have attempted a maclaurin series to replace the sin(x) term but the series does not converge so that doesnt work. I tried integration by parts which just keeps reppeating the sin and cos terms with x^.1 in the denominator I attempted substitution but that clearly doesn't work. I even attempted contour integration but I dont think that could be the solution as we have not done that yet and that is not at the calc 3 level. Is there anything I'm mising!?