Question

Evaluate the double integral of (y^-1)*(sin y)*cos(x/y)
The inner integral has limits 1 and x, and has the differential dy
The outer integral has limits 1 and 0, and has the differential dx
I'm tearing my hair out with this one. Can anyone solve it? O.o

Answer 1

\[\int\limits_{0}^{1} \int\limits_{1}^{x} (\frac{ 1 }{ y }(\sin(y)\cos(\frac{ x }{ y }))dydx \]
You take the integral of the function reating x as a constant. and evanluating on 1<R<x