Figures 4.4.1(a), 4.4.1(b), and Table 4.4.1(a) detail how to obtain a stepwise solution interactively via the
tutor.
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Figure 4.4.1(a) shows the state of the Integration Methods tutor when the change of variable is applied to the given definite integral.
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Clicking the Change button brings up the dialog box shown in Figure 4.4.1(b). The rule for the substitution is entered, and the Apply button pressed.
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Figure 4.4.1(b) Change variable dialog
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Figure 4.4.1(a) Integration Methods tutor
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Table 4.4.1(a) lists the complete stepwise solution available from the
tutor.
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Table 4.4.1(a) Stepwise evaluation via Integration Methods tutor
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After the antiderivative is found, the Revert rule returns , that is, reverses the substitution after the integral has been evaluated.
It is interesting to note that Maple might make a different substitution, as per Table 4.4.1(b) where the Context Panel's Student Calculus1≻All Solution Steps option is applied to the indefinite integral.
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Tools≻Load Package: Student Calculus 1
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Loading Student:-Calculus1
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Table 4.4.1(b) Stepwise evaluation via the Context Panel's "All Solution Steps" option
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Maple has made the substitution , so that and . Thus, and the new integrand is . Of course, the final results for the two approaches will agree, but some of the intermediate steps will not.
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Note that an interactive solution is available via the Context Panel, as per the figure to the right.
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