22. 令f\(f(x, y) = ye^{-x^3}\) 及\( R = \{(x, y) | 0 \le x \le 1, 0 \le y \le x \} \),則\( \iint_R f(x,y) \, dxdy = ? \)

(A)\( \frac{e-1}{6e} \)
(B)\( \frac{e^{-1}-1}{3e} \)
(C)\( \frac{e-1}{2e} \)
(D)\( \frac{e-1}{e} \)

阿摩線上測驗 · 2026-09-08T11:34:12+08:00

22. 令ff(x, y) = ye^-x^3 及R = \(x, y) | 0 x 1, 0 y x \,則_R f(x,y) dxdy = ? (A)(e-1)/6e(B)e^-1-13e(C)(e-1)/2e(D)(e-1)/e

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22. 令f\(f(x, y) = ye^{-x^3}\) 及\( R = \{(x, y) | 0 \le x \le 1, 0 \le y \le x \} \),則\( \iint_R f(x,y) \, dxdy = ? \) (A)\( \frac{e-1}{6e} \)(B)\( \frac{e^{-1}-1}{3e} \)(C)\( \frac{e-1}{2e} \)(D)\( \frac{e-1}{e} \)