1) Apply the change of base property.
Pull the in front of the integral sign.
Use the fact that the first derivative of ln x is to integrate.
Integration by parts
You will need to integrate by parts three times here. In the next stage set u=x^2, and in the one after that set u=x.
6. Separate variables, all the y terms and dy on one side, and k dx on the other. You will need to use partial fractions on the y-side.
It would be easier if you posted one problem at a time.
Perhaps other folks will offer hints to the other problems. Good luck!