MATH 240 Midterm: MATH 240 NIU 07Test3
Math 106 Name
Exam 1
10/2/15
Read directions carefully and show all your work. Partial credit will be assigned based upon the correctness, com-
pleteness, and clarity of your answers. In other words, correct answers accompanied by incorrect or incomplete
work will not receive full credit.
1. Evaluate the following integrals.
(a) Zsin xcos xdx
(b) Zx√10 −xdx
(c) Suppose Z2
1
f(u)du = 5, evaluate Z1/2
0
f(1 + 2t)dt.
1
Document Summary
Read directions carefully and show all your work. Partial credit will be assigned based upon the correctness, com- pleteness, and clarity of your answers. In other words, correct answers accompanied by incorrect or incomplete work will not receive full credit: evaluate the following integrals. (a) z sin x cos x dx (b) z x 10 x dx (c) suppose z 2. 1 f (u) du = 5, evaluate z 1/2. 1: consider a truncated conical container full of strawberry milkshake. The cup is 7 inches tall, 2. 5 inches across the base, 3. 5 inches across the top, and with a straw sticking up 1 inch above the top of the cup. Set up, but do not evaluate an integral representing kind of strawberry milkshake weighs 4 the work done in sucking all of the milkshake out of the straw. 2: suppose the graph of a function f is increasing and concave down on the interval [a, b].
