72. (a) Use integration by parts to show that, for any positive integer n, dx (x² + a²)" dx 2a (n - 1)(x² + a²)«-1 2n - 3 dx 2a (n – 1) (x² + a²)«-T (b) Use part (a) to evaluate dx dx and (x² + 1)² (x² + 1)

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Q: Hello, can you explain the first section of the question. Thank yu

A: Function f(x,y)  take maximum and minimum value at its critical points

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Q: 3. Consider the definite integral 8 V16 + 6x – x²dx. a) Estimate I by partitioning the interval…

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A: According to me all questions' answered are correct

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Q: Can you answer question 8 too

A: Given data : Four groups ,K = 4 N = 32Education : { 62,81,75,58,67,48,26,36 } Business management :…