Question

大一高数问题，求具体解答和运算步骤

Answer 1

Answer 2

M = ∫<0, π/2>dφ∫<0, 2π>dθ∫<0, R>kρ ρ^2sinφdρ
= k∫<0, π/2>sinφdφ∫<0, 2π>dθ∫<0, R>ρ^3dρ
= 2πk [-cosφ]<0, π/2> [ρ^4/4]<0, R> = (π/2)kR^4, 选 C。