題目 Problem Evaluate. (7) ∫02∫04∫0xsin(y2)2025dzdydx=(7)‾\displaystyle \int_{0}^{2} \int_{0}^{4} \int_{0}^{x \sin(y^2)} 2025 \mathrm{d}z \mathrm{d}y \mathrm{d}x = \underline{\quad(7)\quad}∫02∫04∫0xsin(y2)2025dzdydx=(7). (8) ∫01∫∣y∣2−y2(x2+y2)3/2dxdy=(8)‾\displaystyle \int_{0}^{1} \int_{|y|}^{\sqrt{2-y^2}} (x^2+y^2)^{3/2} \mathrm{d}x \mathrm{d}y = \underline{\quad(8)\quad}∫01∫∣y∣2−y2(x2+y2)3/2dxdy=(8). (圖)