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Lecture

5.5 Integration & Anti-derivatives Method of Substitution Question #2 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
5.5 Integration & Anti-derivatives Method of Substitution Question #2 (Medium): Evaluating the Definite Integral Strategy When evaluating the definite integral using the method of substitution, not only is the part of the function substituted by a simpler variable , but the original interval is also changed to match the substitution. So that∫ ( ( )) ( ) ∫ ( ) ( ) [ ( ) ] ( ) ( ( )) ( ( ) ). ( ) ( ) Once the change of the interval is made from the start, substituting back in the original variableis not needed. This is the preferred and easier approach to solving definite integrals. Sample Question Evaluate the definite integral using the method of substitution. ( )
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