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(c) W=W(t) is standard Brownian motion. (i) Find an expression for sin(W(t))dW(t) T 0 that does not involve Ito integrals. (ii) Prove from first principles

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(c) W=W(t) is standard Brownian motion. (i) Find an expression for sin(W(t))dW(t) T 0 that does not involve Ito integrals. (ii) Prove from first principles that the It differential of W(+)2 is dW(t)2 = 2W(t)dW(t) + dt

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