Show that sin(x2) dx converges. [Hint: Let y = x.] Show that fex sin(1/x) dx converges...

  

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Show that sin(x2) dx converges. [Hint: Let y = x.] Show that fex sin(1/x) dx converges absolutely. Show that fo [(1/x) sin(1/x)] dx is conditionally convergent. (a) Show that fo In x dx converges. Show that sin(x2) dx converges. [Hint: Let y = x.] Show that fex sin(1/x) dx converges absolutely. Show that fo [(1/x) sin(1/x)] dx is conditionally convergent. (a) Show that fo In x dx converges.