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Improper Integral - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: Improper Integral, Comparison, Converges, Diverges, Addition, Square Root, Brckets

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
ranga 🇮🇳

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MATH 106A,B - CALCULUS II WINTER 2009
QUIZ 7
NAME:
Show ALL your work CAREFULLY.
(a) Evaluate the improper integral
Z1
0
1
3
p(3x−1)
dx.
(b) Use comparison to determine whether the improper integral
Z∞
2
1
x+x4dx
converges or diverges. Justify your answer.
Date: March 11, 2009.
1

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MATH 106A,B - CALCULUS II WINTER 2009

QUIZ 7

NAME:

Show ALL your work CAREFULLY.

(a) Evaluate the improper integral ∫ (^1)

0

3

(3x − 1)

dx.

(b) Use comparison to determine whether the improper integral ∫ (^) ∞

2

x + x^4

dx

converges or diverges. Justify your answer.

Date: March 11, 2009. 1