   Chapter 7.8, Problem 7E

Chapter
Section
Textbook Problem

# Determine whether each integral is convergent or divergent. Evaluate those that are convergent. ∫ − ∞ 0 1 3 − 4 x   d x

To determine

whether the given integral is convergent or divergent, evaluate it if convergent.

Solution:

The given integral 0134xdx diverges.

Explanation

Given:

0134xdx

Formula used:

1xdx=ln|x|+c

0134xdx

In 34x when x=34 the denominator of given equation becomes zero but x=34 does not belong to the interval under consideration (i

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