Question: Decide which of the following functions are improperly integrable on I. a) f(x) = sin x, I = (0, ) b) f(x)= l/x2, I =
Decide which of the following functions are improperly integrable on I.
a) f(x) = sin x, I = (0, ∞)
b) f(x)= l/x2, I = [-1. 1]
c) f(x) = x-l sin(x-1), I = (l, ∞)
d) f(x) = log(sin x), I = (0, 1)
e) f(x) = (1 - cos x)/x2, I = (0, ∞)
a) f(x) = sin x, I = (0, ∞)
b) f(x)= l/x2, I = [-1. 1]
c) f(x) = x-l sin(x-1), I = (l, ∞)
d) f(x) = log(sin x), I = (0, 1)
e) f(x) = (1 - cos x)/x2, I = (0, ∞)
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a 1 0 sin x dx cos x 0 Since cos x has no limit as x 1 this integral diverges b Sin... View full answer
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