Multiple Choice Questions

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)