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Lecture

# 7.1 Integration by Parts Question #3 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
7.1 Integration Techniques Integration by Parts Question #3 (Medium): Solving Indefinite Integral Strategy Integration by parts is useful when the integral contains two seemingly different function that cannot further be simplified, so tha∫: ( ) ( ) ( ) ( ) ∫ ( ) ( ) . This is after the form of the Product Rule. Assign simpler variables like ( ) and let ( ) , then by taking derivative of , ( ) and by taking the anti-derivative of , ( ) . Sample Question Evaluate the indefinite integral using integration by parts. ∫ Solution The functions cannot be combined or simplified in any other way. So let since it gets simpler through
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