Suppose that , , , , and is continuous. Find the value of
Chapter 7, Problem 7.70(choose chapter or problem)
Suppose that , , , , and is continuous. Find the value of . (a) Use integration by parts to show that (b) If and are inverse functions and is continuous, prove that [Hint: Use part (a) and make the substitution .] (c) In the case where and are positive functions and , draw a diagram to give a geometric interpretation of part (b). (d) Use part (b) to evaluate xe1 ln x dx
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