Suppose the integral from 2 to 8 of g of x, dx equals 13 , and the integral from 6 to 8 of g of x, dx equals negative 3 , find the value of 2 plus the integral from 2 to 6 of g of x, dx . (4 points) 16 18 8 32

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π (4 points)

Suppose

the integral from 2 to 8 of g of x, dx equals 13

, and

the integral from 6 to 8 of g of x, dx equals negative 3

, find the value of 2 plus the integral from 2 to 6 of g of x, dx

. (4 points)

	16
	18
	8
	32

Evaluate the integral the integral from 0 to 2 of the absolute value of x, dx

. (4 points)

	-2
	0
	2
	4

Use your graphing calculator to evaluate to three decimal places the value of the integral from negative 1 to 1 of the product 2 and the square root of 1 minus x squared over 2, dx

the integral from negative 1 to 1 of the product 2 and the square root of 1 minus x squared over 2, dx

. (4 points)

	3.771
	3.636
	1.571
	1.111

the integral from 3 to 5 of 1 divided by the quantity x plus 1, dx is equal to the integral from 4 to 6 of 1 divided by u, du

(4 points)

	True
	False

Find the average value of f(x)=e2x over the interval [2, 4]. (4 points)

	1463.18
	731.59
	1517.78
	23.60

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4. (4 points)

	v(t) = t2 + cos(t) + 3
	v(t) = 2 + cos(t) + 1
	v(t) = t2 – cos(t) + 5
	v(t) = t2 + sin(t) + 4

Find the distance, in feet, a particle travels in its first 4 seconds of travel, if it moves according to the velocity equation v(t)= -t2 + 4 (in feet/sec). (4 points)



	16
	12

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