Let y = xu. Then it becomes which is known not to have an antiderivative amoung the elementary functions. Wolfram Alpha can give it to you with special functions though.
If anyone could check through my working it would be great.
Q. Evaluate the following double integral
Where R is the region bounded by the y-axis, ,
Drawing a horizontal line throughout the region, we end up with...
This turns through integration into
Subbing in values turns it into
Integration by parts turning into
Am I right so far?