(April 30, 2018 at 7:42 pm)Grandizer Wrote:(April 30, 2018 at 1:15 pm)polymath257 Wrote: A related integral is that of sqrt(1-x^2). But this one can be done by 'elementary' methods. No substitution.
Hint: interpret as an area.
The area of the upper semicircle? I can do the definite integral from -1 to 1 intuitively, but indefinite integral without substitution I will have to think about for a while. But first, need to go to work now. So later.
Yes, the indefinite integral. If you can do it from -1 to 1, you have part of the basic idea.
