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.
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