An improper integral I = a (x) dx is called absolutely convergent if
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An improper integral I = ∫∞a ƒ(x) dx is called absolutely convergent if ∫∞a |ƒ(x)| dx converges. It can be shown that if I is absolutely convergent, then it is convergent.
Show that ∫∞1 e−x2 cos x dx is absolutely convergent.
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