15 Multiple Choice Calculus Equation Questions & Solutions

1.

Evaluate the integral: (4 points)

	x4 + 2x3 – x + C

2.

Evaluate . (4 points)

	x – 1 + C

3.

Evaluate the integral . (4 points)

	2ln|1 – sin2(x)| + C
	-csc(x) + C
	sec(x) + C
	None of these

4.

If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? (4 points)

5.

Evaluate the integral . (4 points)

1.

Evaluate the integral . (4 points)

2.

Evaluate the integral . (4 points)

	-2csc(5x)cot(5x) + C
	-10csc(5x)cot(5x) + C

3.

Which of the following integrals cannot be evaluated using a simple substitution? (4 points)

4.

Evaluate . (4 points)

	-ln|1 – x3| + C
	sin-1(x3) + C

5.

Evaluate the integral . (4 points)

	x – 1 + ln|x| + C

1.

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x² and the x-axis? (4 points)

2.

Suppose , and , find the value of . (4 points)

	8
	12
	16
	4

3.

Evaluate the integral . (4 points)

	1
	0
	2
	-1

4.

Use your graphing calculator to evaluate to three decimal places the value of . (4 points)

	0.250
	2.667
	1.778
	-3.251

5.

(4 points)

	True
	False

 

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