Question: (a) Use Integration by Parts and Hake's Theorem to show that 0 xe-sxdx = 1/s2 for s > 0. (b) Use the Fundamental Theorem 10.3.5.

(a) Use Integration by Parts and Hake's Theorem to show that ∫∞0 xe-sxdx = 1/s2 for s > 0.
(b) Use the Fundamental Theorem 10.3.5.

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