   Chapter 7.8, Problem 10E

Chapter
Section
Textbook Problem

# Determine whether each integral is convergent or divergent. Evaluate those that are convergent. ∫ − ∞ 0 2 r d r

To determine

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

Explanation

Given:

02rdr.

Formulae used:

audu=aulna+c.

02rdr

This is an improper integral so, we take the limit of integral from t to 0 and take limit t.

Thus

02rdr=limtt02rdr (I)

Taking the integral part of equation (I)

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