Question: 5. (10 points) a. Evaluate the integral In(r + 1) dx. b. Determine whether the improper integral In(x + 1) dx. is convergent or divergent.

or divergent. c. Determine whether the improper integral "co In(x + 1)

d.r. is convergent or divergent.6. (12 points) Approximate the value of the

5. (10 points) a. Evaluate the integral In(r + 1) dx. b. Determine whether the improper integral In(x + 1) dx. is convergent or divergent. c. Determine whether the improper integral "co In(x + 1) d.r. is convergent or divergent.6. (12 points) Approximate the value of the integral COST dx a. by using the Trapezoidal Rule To b. by using the Midpoint Rule Mg c. by using the Simpson's rule S Bonus: (6 points) Use mathematical induction to show that re * dx = n! 0 for all n > 1

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