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Show that [ int_{0}^{T} e^{W(t)} d W(t)=e^{W(T)}-1-rac{1}{2} int_{0}^{T} e^{W(t)} d t ] Using this relationship, find the expectation [ mathbb{E}left[e^{W(t)} ight] ] **please use the

Show that [ int_{0}^{T} e^{W(t)} d W(t)=e^{W(T)}-1-rac{1}{2} int_{0}^{T} e^{W(t)} d t ] Using this relationship, find the expectation [ mathbb{E}left[e^{W(t)} ight] ]
**please use the relationship shown in the problem**
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h) Show that ew(t) dW (t) = eW(T) - 1 ew(t) dt 2 Using this relationship, find the expectation EleW)]

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