題組內容
2. Apply that $\int_0^\infty e^{-x^2} dx = \frac{\sqrt{\pi}}{2}$ to evaluate the following improper integrals.
(a) \( (7\%) \) \( \int_0^\infty x^{\frac{1}{2}}e^{-x}dx \)
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2. Apply that $\int_0^\infty e^{-x^2} dx = \frac{\sqrt{\pi}}{2}$ to evaluate the following improper integrals.
(a) \( (7\%) \) \( \int_0^\infty x^{\frac{1}{2}}e^{-x}dx \)