This is a collaborative and challenging activity to practice evaluating indefinite integrals by using Integration by Parts. It aims to develop and consolidate student’s skills in integration by this special method.
Partners work through 8 sections (or less if preferred). Each section contains one integral.
Activity Directions:
- A partner start solving an integral while the other partner is waiting for the answer to integrate it. In the next section, partners take turns and it goes the same way.
- An alternative way ( I think it is better way) to use this activity:
Partner A solves an integral of a section while Partner B solves an integral of the other (the next in line) section. Then they swap papers and each partner integrates the function that his partner has obtained previously.
The problems are well thought so the obtained functions after the first integrating can be also integrated by parts! A HINT is provided in each section that gives the sum of the partners’ answers.
Answer keys are included.
I hope this activity will be stimulating and beneficial for your calculus students.
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