Question: help me with this one PART B QUESTION 1 Use integration by parts to evaluate the integral [ ex sin(2x)dx . (5 marks) QUESTION 2

help me with this one

PART B QUESTION 1 Use integration by parts to evaluate the integral [ ex sin(2x)dx . (5 marks) QUESTION 2 Use the trigonometric substitution x = 7 tan 0 to solve X x2 + 49 dx. (7 marks) QUESTION 3 2x -1 Use partial fractions to evaluate _ 2 _ 2x -15 dx. (6 marks) QUESTION 4 a) Determine whether the series 1 n=1 7n -8 is convergent or divergent using the integral test. (5 marks) b) Hence, determine whether the related alternating series _(-1)" 1 n=1 7n - 8 converges absolutely, converges conditionally or diverges. (4 marks)

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