Evaluate the given integral
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Control-drag the integral.
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Context Panel: Evaluate and Display Inline
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Context Panel: Simplify≻Simplify
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=
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A stepwise solution that uses top-level commands except for one application of the Change command from the IntegrationTools package:
Initialization
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Install the IntegrationTools package.
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Let be the name of the given integral.
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Change variables as per Table 6.3.1
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Use the Change command to apply the change of variables .
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Simplify the radical to . Note the restriction imposed on .
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Use the value command to evaluate the integral, which is of the form , with .
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Revert the change of variables by applying the substitution .
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Table 6.3.3(a) displays the annotated stepwise solution provided by the
tutor when the Constant, Constant Multiple, and Sum rules are taken as Understood Rules.
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Table 6.3.3(a) Annotated stepwise solution via Integration Methods tutor
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Note that the substitution chosen by Maple is not a trig substitution taken from Table 6.3.1.
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Note that an annotated stepwise solution is available via the Context Panel with the "All Solution Steps" option.
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The rules of integration can also be applied via the Context Panel, as per the figure to the right.
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