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This is a complete rigorous lesson on Advanced Techniques of Integration for students enrolled in AP Calculus BC or Calculus 2.

( The resource contains 47 problems - 17 with full typed solutions and 30 with answer keys)

Lesson Objective:

Find indefinite integrals and evaluating definite integrals using integration by parts.

It includes

A. Detailed Guided Notes (5 pages) including derivation of Integration by Parts formula and 7 worked out examples with indefinite and definite integrals as

  • 4 examples perform Integration by Parts once
  • 3 examples including repeated Integration by Parts( twice and for third time).

The students are guided through the process of picking u, du, v, and dv.

B. 20 Classifies Practice Problems ( 10 come with full typed solutions and other 10 are similar to them for students to try their own. Students are given the answers. )
C. 12 Assignment Problems with answer keys ( 6 indefinite and 6 definite integrals ).
D. 2 versions Multiple Choice Exit Tickets /Quizzes/ Assessments ( with answer keys)

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