- #1
tub08918
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Homework Statement
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.
Homework Equations
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 doesn't 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 don't 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!?