Chapter 4: Integration
Section 4.5: Improper Integrals
Example 4.5.2
Determine whether the improper integral converges or diverges.
Solution
Mathematical Solution
= =
The integral diverges.
Maple Solution
Apply Maple to the improper integral
Control-drag the integral. Context Panel: Evaluate and Display Inline
=
Integrate to a finite endpoint, then take the limit
Control-drag the integral Change the upper limit from ∞ to
Context Panel: Simplify≻Assuming Real Range (See Figure 4.5.1(a).)
Context Panel: Assign to a Name≻
Expression palette: Limit template Context Panel: Evaluate and Display Inline
Alternate evaluation of
Append the assuming option to the integral. Context Panel: Evaluate and Display Inline
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