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d. Given that the definition of the gamma function I(a) is given by the improper integral r(a) = ta-de 'dt, a >0, show that, I(a

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d. Given that the definition of the gamma function I(a) is given by the improper integral r(a) = ta-de 'dt, a >0, show that, I(a + 1) = al(a). Using the given definition show that r(a + 1) [[to ] = sa+1 a > -1. Hence find f (t) = t 2. (7 Marks

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