Calculus II

The first year of university

• Substitution
• Integration by Parts
• Trigonometric Integrals
• Trigonometric Substitution
• Partial Fractions
• Improper Integrals
• Arc Length
• Surface Area of a Solid of Revolution
• Work
• Centre of Mass
• Sequences and Their Limits
• Series and the Test for Divergence
• The Integral Test and p-Series
• Comparison and Limit Comparison
• The Ratio and Root Tests
• Alternating Series
• Power Series and the Radius of Convergence
• Taylor and Maclaurin Series
• Parametric Curves
• Area and Slope in Polar Coordinates