MAT 146
Test #1 Part 1
Name _________________
Section: 01 05 06 (circle one)
50 points (Part I: 29 points)
Do Not Use a Calculator!
Impact on Course Grade: approximately 10%
Score ________________
Part I: Do Not Use Any Calculator or Computer Tools!
Evaluate each indefinite integral. Do not use your calculator. (1 pt each)
1
1)
! x dx
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2)
! 3e2! dx
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3)
! sec2 x
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4)
! 4x 5 + 3x 4 dx
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5)
! cos x dx
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6)
! 3x dx
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7)
! sec x tan x dx
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8)
! x 3 dx
9)
! x 2 +1
10)
! 3e x dx
dx
2
1
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dx
______________
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Name
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Part I Continued: Do Not Use Any Calculator or Computer Tools!
Evaluate the following integrals. Show all steps leading to each solution. Simplify where
appropriate. (5 pts each)
11.
! sin3 ( x ) dx
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!
12. 2 3x sin x dx
1
13.
"(
0
4x 3 ! 2x
4
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) (6x !1)dx
2
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Name
14.
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Region A in Quadrant I is bordered by the graphs of f ( x ) = 4 ! 2x
2
and h ( x ) = ( x ! 2) and is to be rotated about the line y = 4. We are
interested in the three-dimensional solid created by this rotation.
(a) On the axis below, sketch the resulting solid of revolution. (1 pt)
(b) Draw a typical slice within this solid of revolution. (1 pt)
(c) Set up, but do not calculate, a definite integral to represent the
exact volume of the entire solid. (2 pts)
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