The astute reader will note that the requisite area was obtained in Example 4.1.1 as the limit of a left Riemann sum. Here, the area is obtained via the Definite Integral template in the Calculus palette.
Define the function
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Context Panel: Assign Function
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Area via the definite integral
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Expression palette: Definite Integral template
Context Panel: Evaluate and Display Inline
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The fields of the definite integral template are traversed by use of the Tab key. If the polynomial rule for the function is to appear as the integrand, the typical calculus text would enclose the terms in parentheses. However, Maple treats the integral sign and the differential as the bounds on the integrand and will display and evaluate integrals without parentheses.
Calculus Text
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Maple
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Of course, it would always be possible to type the appropriate parentheses into the Definite Integral template.