Chapter 4: Integration
Section 4.3: Fundamental Theorem of Calculus and the Indefinite Integral
Use Maple to obtain an explicit rule for the function Gx=∫0xsinu ⅆu; then show G′x is the integrand evaluated at x.
Control-drag the equation Gx=…
Context Panel: Assign Function
Gx=∫0xsinu ⅆu→assign as functionG
Write the derivative notation G′x
Context Panel: Evaluate and Display Inline
G′x = sin⁡x
The explicit rule for hx and its derivative
Write Gx and press the Enter key.
(This displays the explicit rule for Gx.)
Context Panel: Differentiate≻With Respect To≻x
→differentiate w.r.t. x
At this point in a standard calculus course, the student would not have the seen a method for finding the explicit antiderivative Gx. However, Maple can find this antiderivative, and with it, provide another illustration of the Fundamental Theorem of Calculus.
<< Previous Example Section 4.3
Next Example >>
© Maplesoft, a division of Waterloo Maple Inc., 2023. All rights reserved. This product is protected by copyright and distributed under licenses restricting its use, copying, distribution, and decompilation.
For more information on Maplesoft products and services, visit www.maplesoft.com
Download Help Document