   Chapter 8.6, Problem 68E

Chapter
Section
Textbook Problem

# True or False? In Exercises 67 and 68, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.When using a table of integrals, you may have to make substitutions to rewrite your integral in the form in which it appears in the table.

To determine

With example whether the statement that “When using a table of integrals, you may have to make substitutions to rewrite your integral in the form in which it appears in the table” is true or false.

Explanation

Since, the statement is: When using a table of integrals, you may have to make substitutions to rewrite your integral in the form in which it appears in the table,

Since, the integration tables contain a broader and universal formulas which can be modified and manipulated by algebraic substitution.

Basic formulas are included in the integration table.

The method of modification and substitution of an integral, not present in the integration table can be reduced to a standard form similar to the corresponding integral present in the integration table.

For example: consider y=1x2+2x+2dx

Since, the given type of integral is not present in the integration table.

Reduce the integral to a standard form. Therefore,

y=1x2+2x+1+1dx="

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