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1. [5 marks] The slope of the graph of g(x) is given by 3x - et + 5 and the graph passes through the point

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1. [5 marks] The slope of the graph of g(x) is given by 3x - et + 5 and the graph passes through the point (0, 4). Determine the equation of g(x). 2. [15 marks] Using integration by substitution, determine the following indefinite integrals. (a) me2x2-1 dx (b) x2 + 1 (c ) (Inr) dr 3. [12 marks] Using integration by parts, determine the following indefinite integrals. (a) 6x2 Inx dx (b) e

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