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MATH 101 HOMEWORK 4 Due on Wednesday, October 8 Covers sections 5.7–6.2. For full credit, please show all work. 1. (4 marks) Find the area of the finite planar region bounded by the parabola y = x2 and the straight line through the points (a, a2 ) and (2a, 4a2). 3. (16 marks, 4 for each part) Evaluate the integrals: Z x4 e2x dx, (a) Z (b) (sin−1 x)2 dx, Z √ (c) (x + 3)3 dx, x2 + 6x + 10 Z (c) (4x2 dx . + 1)5/2 Feel free to use the formulas and examples in Sections 6.1-6.2 of the textbook. 1