Chapter 4: Integration
Section 4.4: Integration by Substitution
Example 4.4.5
Evaluate the definite integral .
Solution
Mathematical Solutions
Solution 1
From Example 4.4.4, if , so that , and , then
Solution 2
From Example 4.4.4, making either the substitution , or , the indefinite integral of is . Hence, the value of the definite integral is
Stepwise Maple Solutions
Table 4.4.5(a) contains Maple's annotated stepwise solution obtained with the "Student Calculus1≻All Solution Steps" option in the Context Panel for the inert definite integral.
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Table 4.4.5(a) Maple's annotated stepwise evaluation of the definite integral
A similar solution is available via the tutor. Pressing the All Steps button and then the Close button will write to the worksheet the solution given in Table 4.4.5(a).
Note that an annotated stepwise solution is available via the Context Panel with the "All Solution Steps" option.
The rules of integration can also be applied via the Context Panel, as per the figure to the right.
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