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A calculus exam from spring 2007 for math 121 (calculus ii). The exam includes questions on definite and indefinite integrals, finding areas, and riemann sums. It is a closed-notes and closed-book exam with no calculators allowed.
Typology: Exams
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Test #1 Name: (print neatly)
Instructor: Joyce Servatius (sign)
This exam is CLOSED NOTES and CLOSED BOOK. There are NO CALCULATORS allowed. To get
full credit you must show all work neatly in the space provided on the test paper.
a.
∫ (^1)
0
(9t
3 − 4 t
2 ) dt
b.
∫ (^) π/ 2
−π/ 2
(cos x − sin x) dx
a.
∫ ( t 2 − t − 2
t^4
)
dt
b.
x √ 2
x
)
dx
c.
∫
(x
2
P = {− 1 , 0 , 3 , 4 }.
6
J J J J J J J J J J J
y
x
a. On the graph of f (x) above, draw the rectangles corresponding to Lf (P ).
b. Compute Lf (P ), and Uf (P ).
c. Compute
∫ (^4)
− 1
f (x) dx
∫ (^3)
0
f (x) dx = 5,
∫ 5
0
f (x) dx = 2 and
∫ 5
3
(3g(x) + 1) dx = 20.
a) What is
∫ (^0)
5
f (x) dx?
b) What is
∫ (^5)
0
(2f (x) − 1) dx?
c) What is
∫ (^5)
3
g(x) dx?
d) What is
∫ (^5)
3
(f (x) + g(x)) dx?
