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Exam 1 Fall 2011

# Exam 1 Fall 2011 - Math 2123.2 — Fall 2011 — Exam 3 To...

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Unformatted text preview: Math 2123.2 — Fall 2011 — Exam 3 To receive credit, you must ShOW your work. 1. [10 points] Find the antiderivatives of U\ 3 _. , , _ ~ .1 1 _. ”gm 3 3 3- “ 3 3“ r}, 3. [10 points] Find the antiderivative F(:I:) of f (SD) = m2 — 1 that satisﬁes F(3) = 0. «5 (\L\ '3 15’ I 6. Consider the region R bounded between the curves y = x2 and y = 2 — \$2. (a) [7 points] Sketch the curves and the region R on the Cartesian coordinate system shown below. (b) [8 points] Express the area of the region R as a deﬁnite integral. (0) [5 points] Evaluate the area of the region R. 3 a 7. [15 points] Use Simpson’s Rule with n = 4 to approximate the integral 1 1 /01+x2dm' Round your answer to three decimal places. l\‘ \~O 1 \ “a”? W95 / 2 4. [15 point] Evaluate / V333 +1(3:z;2)d:1:. o S: 43\$“ [zﬂcu . 5 ...
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