Question: Show that the improper integrals and exist and compute them. S arcsin t VI-2 dt = S dt = lim 840 log t 1

Show that the improper integrals and exist and compute them. S arcsin t VI-2 dt = S dt = lim 840 log t 1 dt := lim R [. -1-6 arcsin t 1-12 [Hint: Use the substitutions t = sinx and t = e".] log t t dt dt

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