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5 Questions on Evaluate the Integrals in Calculus II | MATH 2254, Exams of Calculus

Material Type: Exam; Class: Calculus II; Subject: Mathematics; University: Southern Polytechnic State University; Term: Spring 2006;

Typology: Exams

Pre 2010

Uploaded on 08/03/2009

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Spring 2006, math2254-004 Exam 1 Dr. Taixi Xu Department of Math, SPSU
Math 2254-004 Exam 1
Name: Score: / 100
Turn in your summary for 5 points. Show all your works for full or partial credits.
No calculator is allowed.
1. (10 points) Let
2)(
3
xxf
. Find the value of
dx
df
1
at
)2(6 fx
without finding a
formula for
)(
1
xf
.
2. (10 points) Simplify the expression.
a)
27
1
log
3
b)
x
2
log
2
c)
yx
e
lnln
d)
)ln(ln
e
e
Page 1 of 5
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Download 5 Questions on Evaluate the Integrals in Calculus II | MATH 2254 and more Exams Calculus in PDF only on Docsity!

Math 2254-004 Exam 1

Name: Score: / 100

Turn in your summary for 5 points. Show all your works for full or partial credits.

No calculator is allowed.

1. (10 points) Let (^ )^2

f xx^3 

. Find the value of

dx df ^1

at x^ ^6  f (^2 )without finding a

formula for ( )

f ^1 x

2. (10 points) Simplify the expression.

a) 

log 3

b) 2 log^2 x

c) e ln^ x ln y

d) ln(ln^^ ee )

3. (30 points, 5 points each) Find the derivative of y with respect to x.

a) y^ ln^5 x

b)

y  2 ^3 x

c) y^ log 23 x

d) cos^ ( )

y  ^1 x^2

e) y^^ ln(tan^ ^1 (^3 x ))

c) 

x^2

xdx

d) dx

x x

 2 1 1 sin

e) 

5 1 5 (^1 )

4 25 x

dx

5. ( Extra Credits: 10 points, 5 points each ) Evaluate the integral.

a) 

xx dx 3 2 2 b) (^) 

x^2  4

dx