Mathematics II

!!! Midterm Exam !!!

Chapter Subchapter Exercises
5.  Integration 5.1  Area and Estimating with Finite Sums 1-8    ;    Answers
5.2  Sigma Notation and Limits of Finite Sums
5.3  The Definite Integral 9-62  ;    Answers
5.4  The Fundamental Theorem of Calculus 1-50  ;    Answers
5.5  Indefinite Integrals and the Substitution Method 1-56  ;    Answers
5.6  Substitution and Area Between Curves 1-79  ;    Answers
6. Applications of Definite Integrals 6.1  Volumes Using Cross-Sections 1-10, 13-48  ;  Answers
6.2  Volumes Using Cylindrical Shells 1-34  ;   Answers
6.3  Arc Length 1-14  ;   Answers
6.4  Areas of Surfaces of Revolution 9-20  ;   Answers
8. Techniques of Integration 8.1  Integration by Parts 1-30  ;   Answers
8.2  Trigonometric Integrals 1-38  ;    Answers
8.3  Trigonometric Substitutions 1-36  ;    Answers
8.4  Integration of Rational Functions by Partial Fractions 1-34  ;   Answers
8.7 Improper Integrals

Resources:

Thomas Calculus, 12th Edition (Main textbook)

Calculus 1 Class Notes, Thomas’ Calculus, Early Transcendentals, 12th Edition

Calculus 2 Class Notes, Thomas’ Calculus, Early Transendentals, 12th Edition

Paul’s Online Math Notes