   Chapter 8.4, Problem 48E

Chapter
Section
Textbook Problem

# Choosing a Method State the method of integration you would use to perform each integration. Explain why you chose that method. Do not integrate.(a) ∫ x x 2 + 1   d x (b) ∫ x 2 x 2 − 1   d x

(a)

To determine

The method of integration to perform the integration of xx2+1dx.

Explanation

Given:

The integration is;

xx2+1dx

Consider the provided integral:

xx2+1dx

Now, it can be observed that the term containing x2 is inside the radical while the term containing x is outside it.

Also, the differentiation of x2 is 2x

(b)

To determine

The method of integration to perform the integration of x2x21dx.

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