Hi, im new here, I have some problems with the following integrations:

I've tried various things with all of them, but cant figure them out. I'd love some pointers, hopefully with explanations

1.

2. with a suitable substitution is? Apparently the answer is: , but im not sure what i should pull put as 'u'. Any ideas?

3. The area of the region bounded by the axis, the line x=1 and the curve: , so i presume we need to get the definite integral from 0-1 of that curve, but once again i cant figure out the answer.

I'll add to this list as more problems arise.

Thanks for the help