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Calculus II practice problems

300 practice problems, organized by chapter and topic.

A second calculus course covering the techniques and applications of integration, improper integrals, and sequences and series — from convergence tests through to power and Taylor series.

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Section 4.3: Polar Coordinates.

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Calculus II, section 4.3, question 1: Polar Coordinates. The question before answering.
Polar Coordinates · Sample question

What is in this course?

Follow the topics in order, or find the section you are studying now.

1 Integration Methods

88 practice problems

  • 1.1 Basic Integrals8 problems
  • 1.2 Integration Formulas8 problems
  • 1.3 U-Substitution13 problems
  • 1.4 Integration by Parts13 problems
  • 1.5 Trigonometric Identities10 problems
  • 1.6 Partial Fractions and Long Division15 problems
  • 1.7 Trigonometric Substitution10 problems
  • 1.8 Improper Integrals11 problems

2 Applications of Integrals

42 practice problems

  • 2.1 Arc Length10 problems
  • 2.2 Volumes by Disks and Washers12 problems
  • 2.3 Volumes by Cylindrical Shells10 problems
  • 2.4 Surface Area of Revolution10 problems

3 Introduction to Differential Equations

17 practice problems

  • 3.1 Separable Differential Equations9 problems
  • 3.2 Slope Fields and Euler's Method8 problems

4 Polar and Parametric Equations

42 practice problems

  • 4.1 Parametric Curves10 problems
  • 4.2 Area and Arc Length of Parametric Curves10 problems
  • 4.3 Polar Coordinates12 problems
  • 4.4 Areas in Polar Coordinates10 problems

5 Sequences and Series

111 practice problems

  • 5.1 Sequences18 problems
  • 5.2 Series and the Divergence Test18 problems
  • 5.3 Convergence Tests33 problems
  • 5.4 Taylor and Maclaurin Series25 problems
  • 5.5 Power Series17 problems

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