1. Mathematics
2. Calculus and Analysis
3. Real Analysis
4. Integrals
5. 33063

Finding formulas for the volume enclosed by a hypersphere in n-dimensional space.

c) Use a quadruple integral to find the hypervolume enclosed by the hypersphere x^2 + y^2 + z^2 + w^2 = r^2 in R^4. (Use only trigonometric substitution and the reduction formulas for ∫sin^n(x)*dx or ∫cos^n(x)*dx.)