1.
Given that the antiderivative of f(x) = e4x is F(x) = , evaluate . (4 points)
e8
2.
Evaluate . (4 points)
0
1
2
None of these
3.
Given , find G ‘(x). (4 points)
2xsin(x2)
2xcos(x2)
sin(x2) – sin(1)
sin(x2)
4.
Find . (4 points)
2xln(x2)
ln(x2)
5.
Determine the interval on which f(x) = ln(x) is integrable. (4 points)
(0, ∞)
[0, ∞)
(-∞, 0) U (0, ∞)
All reals
6. Which of the following sums does not equal the others? (4 points)
7.
Write the summation to estimate the area under the curve y = 2×2 + 1 from x = 0 to x = 4 using 4 rectangles and left endpoints. (4 points)
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