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Give complete details for full marks. TT / 2 1. [3 points] Evaluate the integral sin(2x) sin (3x) sin(4x) dx. o T 2. [4 points]

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Give complete details for full marks. TT / 2 1. [3 points] Evaluate the integral sin(2x) sin (3x) sin(4x) dx. o T 2. [4 points] Evaluate lim Vie VI dx To Jo 4x 3. Let f(x) = 3 _12 (a) [1 points] Find the largest interval on which f is increasing (b) [4 points] Where is the graph of f is concave up? (c) [1 points] Are there any points of inflection? If so, find them and give reasons

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