M-172Q Midterm: Montana State MATH 172 Exam1 practice
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Summer 2016: integrate. (a) 10 z 3. 0 t2 1 + t dt (b) 10 z x arctan x dx (c) 10 z /2. 0 sin3 2 d : integrate. (a) 10 z x3. 4x x2 4x + 8 dx (c) 10 z 4x2 + 5x + 3 x(x + 1)2 dx: 10 consider the region bounded by the graphs of y = x2 and y = x + 2. Find the volume of the solid generated by rotating the region about the line y = 1: 10 consider the region between the graph of y = ex and the x-axis for x [0, 1]. Find the volume of the solid generated by rotating the region about the y-axis: 10 consider the area between the graphs of the functions y = x2 and y = x for x [0, 2].