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Lecture

7.1 Integration by Parts Question #1 (Easy)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
7.1 Integration Techniques Integration by Parts Question #1 (Easy): Solving Indefinite Integral Strategy Integration by parts is useful when the integral contains two seemingly different function that cannot further be simplified, so t∫at: ) ( ) ( ) ( ) ∫ ( ) ( ) . This is after the form of the Product Rule. Assign simpler variables likeand let ( ) , then by taking derivative of , ( )and by taking the anti-derivative o, ( ). Sample Question Evaluate the integral using integration by parts. ∫( ) ( ) Solution More complex function that simplifies when its derivative is taken should be assigned to . So here, . Then ( ) . Taking derivative ogives , and taking the anti- derivative of gives ( ) ( ). Given the form of integration by parts: ∫ ( ) ( )
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