/sci/ - Science & Math

>>15183208
This is the formula for integration using spherical co-ordinates. Suppose I wanted to derive the surface area of a sphere from this formula, for some fixed radius R. My approach has been to assume the upper and lower bounds inside of the red box would be R and R, and p^2 would be R^2 as the radius would be constant. However, integrating from R to R gives me 0 and the entire integral becomes 0.

My intuition is that since there is no change in p, the integral would not be there in the first place, and I would only be integrating with respect to the two angles, but cannot prove this.