Hello, I came across an unusual integral problem in my Physics book that I could not solve. The book simply skips the work and says to check the integral tables, but I wasn't able to find one that satisfied this problem.
This is the problem: integral of (x^2+y^2)^(-3/2)dy
The Attempt at a Solution
Tried u-sub, but the lack of y makes it impossible. Couldn't do trig sub because of the negative exponent.
When I plugged it into WolframAlpha, it gave me a tidy solution, but the solutions are unavailable even in their app. It loads for a bit and shows "solution unavailable."
The proper solution should be y/[(x^2)*√(x^2+y^2)]+constant.
Here is the actual URL:
This is the second time coming across this integral in this chapter and I cannot solve it for the life of me. Any insights would be greatly appreciated. Thanks!