### Course curriculum

• 1
• 2
##### Type 1: Anti-Derivatives
• Integration is the Reverse Process of Differentiation
• Integration of Polynomials
• The Most Important Integrations to Memorize
• Two Challenging Problems
• 3
##### Type 2: u-Substitution
• The 3 Easy Steps for u-Substitution
• Two Solved Examples
• The 4 important types of u-Substitution problems
• 4
##### Type 3: Area Under a Curve
• The 2 steps in Evaluating Definite Integrals
• Integration is just the Area under a Curve
• Simplifying complicated Integrations with Geometry
• Two Solved Examples
• 5
##### Type 4: Riemann Sums
• Approximating Areas using Rectangles
• Left and Right Endpoint Methods
• The Trapezoidal Method
• 6
##### Type 5: Area Enclosed between Two Curves
• The Formula to calculate Area between Curves
• Solved Example: Area Enclosed between Two Parabolas
• Integrating Along the Y Axis
• Integrating Along the Y Axis to Find Enclosed Areas
• 7
##### Type 6: Volumes - Using Disks & Washers
• Using Disks to Calculate Volumes
• Using Washers to Calculate Volumes of Hollow Solids
• Rotation Around the Y Axis
• 8
##### Type 7: Volumes - Using Cross-Sections
• Calculating Volumes using Thin Cross-Sections
• 9
##### Type 8: Length of a Curve
• The Formula for the Length of a Curve
• Integrating with respect to Y to calculate the Length of a Curve
• Integrating with respect to Time
• 10
##### Type 9: Rectilinear Motion
• Calculate Position by Integrating Velocity
• Calculate Position & Velocity by Integrating Acceleration
• Solved Examples Involving Constant Acceleration
• 11
##### Type 10: Trigonometric Integration
• Integrate Powers of sin x & cos x
• Integrate Powers of tan x & sec x
• Using Double Angle Formulas for Integration
• 12
##### Type 11: Integration by Parts
• Integration by Parts in 3 Easy Steps
• How to Apply Integration by Parts Twice
• How to Simplify Tedious Problems using the Tabular Method
• 13
##### Type 12: Partial Fractions
• The Basic Method of Partial Fractions
• How to Decompose Repeated Factors
• Important Techniques to Factor Polynomials
• Partial Fractions for Quadratic Factors
• 14
##### Type 13: Advanced Integration Techniques
• Reduction Formulas for powers of sin x, cos x, tan x & sec x
• Trigonometric Substitution
• 15
##### Type 14: Differential Equations
• Separation of Variables
• Exponential Models of Growth and Decay
• How to Draw Slope Fields using Isoclines
• 16
##### Type 15 Polar Coordinates
• How to Convert between (x,y) and (r, theta) Coordinates
• How to Calculate the Length of a Polar Curve
• How to Calculate the Area Enclosed in a Polar Curve
• How to Calculate the Area Enclosed between Two Curves