# multiple choice questions 29

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 = 2x2 + 1 from x = 0 to x = 4 using 4 rectangles and left endpoints. (4 points)

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