   Chapter 7.8, Problem 23E

Chapter
Section
Textbook Problem

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

To determine

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

Explanation

Given:

.0zz4+4dz

Formula used:

1a2+x2dx=1atan1(xd)+c

Let

I=0zz4+22dzI=0z(z2)2+22dz

Let,

z2=u then when z=;u=

2zdz=duz=0;u=0

Therefore,

I=122z(z2)2+220=12

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