Let f ( t ) : = 0 x 2 sin 2 x e
Question:
Let f(t):=∫∞0x−2sin2xe−txdx,t⩾0.
(i) Show that f is continuous on [0,∞) and twice differentiable on (0,∞).
(iii) Use (i) and (ii) to obtain a simple expression for f.
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(ii) Find f" and work out the limits lim, f (t) and lim, f' (t).
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i ii iii Data from theorem 124 a b c Data from theorem 125 ...View the full answer
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