Assignment:
Finding formulas for the volume enclosed by a hypersphere in n-dimensional space.
Use a quadruple integral to find the hypervolume enclosed by the hypersphere x2 + y2 + z2 + w2 = r2 in R4. (Use only trigonometric substitution and the reduction formulas for ∫sin^n(x)*dx or ∫cosn(x)*dx.)
Provide complete and step by step solution for the question and show calculations and use formulas.