Massachusetts Institute of Technology MIT OpenCoursewareCambridge, Massachusetts, US,

September 5, 2008

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Teachers and students can use these exam questions and solutions to test the information learned.

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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- Mathematics > General
- Mathematics > Calculus

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Table of Contents

- Evaluating Definite Integrals Exam Question
- Antiderivatives Using Polynomial Division Exam Question
- Indefinite Integrals I Exam Question
- Indefinite Integrals II Exam Question
- Indefinite Integrals III Exam Question
- Trigonometric and Logarithmic Integrals Exam Question
- Definite Integrals Exam Question
- Trigonometric Formulas and Identities Exam Question
- Differentiation Formulas: Polynomials, Products, Quotients Exam Questions
- Differentials and Indefinite Integration Exam Question
- Inverse Trigonometric and Hyperbolic Functions Exam Question

Teachers and students can use these exam questions and solutions to test the information learned.

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc

http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Question 4 (and its solution) covers the substitution method, logarithmic functions, and trigonometric functions.

Course: 18.01 Single Variable Calculus, Fall 2005

Instructor: Prof. Jason Starr

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Single Variable Calculus Question 2 (and its solution) covers computing the antiderivative of a fraction of two polynomials.Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Course: 18.01 Single Variable Calculus, Fall 2005

Instructor: Prof. Jason Starr

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Single Variable Calculus Question 9 (and its solution) covers three integrals that need to be evaluated.

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Single Variable Calculus Question 3 (and its solution) covers three integrals that need to be evaluated.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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Single Variable Calculus Question 5a (and its solution) covers two integrals that need to be evaluated.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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Single Variable Calculus Question 1 (and its solution) covers deriving a trigonometric formula and differentiating a logarithmic expression, then using those results to evaluate two integrals.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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Single Variable Calculus Question 1 (and its solution) covers two integrals that need to be evaluated.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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Single Variable Calculus Question 1 (and its solution) covers a list of trigonometric and inverse trigonometric identities and formulas involving integrals and derivatives.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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Single Variable Calculus Questions 1E-1 through 1E-5 (and their solutions) cover taking derivatives and antiderivatives of polynomials, finding the points on a graph which have horizontal tangent lines, and finding derivatives of rational functions.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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Single Variable Calculus Questions 3A-1 through 3A-3 (and their solutions) cover evaluating five differentials and twenty indefinite integrals using a range of techniques.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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Single Variable Calculus Questions 5A-1 through 5A-6 (and their solutions) cover evaluating integrals and derivatives of these functions, as well as graphing them and finding tangent lines or average values.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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