Question: Assessed Exercises Sheet 1 A1.1. Use the substitution x = a sinh u to work out the integral (a2+ x2) 1/2dx. A1.2. (i) Show that

Assessed Exercises Sheet 1 A1.1. Use the substitution x = a sinh u to work out the integral (a2+ x2) 1/2dx. A1.2. (i) Show that the Laplace transform of f(x) = x is (ii) Show by induction that the Laplace transform of , is sn+1 . ( You may assume that Rntle-sR => 0 as R -> co for s > 0. )

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