Calculus/Further integration techniques

• 1 Partial fractions
  • 1.1 Example 1
  • 1.2 Example 2
• 2 Trigonometric Substitution
  • 2.1 Sine substitution
  • 2.2 Tangent substitution
  • 2.3 Secant substitution
    • 2.3.1 Example 1
    • 2.3.2 Example 2
• 3 Trigonometric integrals
  • 3.1 Powers of Sine and Cosine
    • 3.1.1 Example
    • 3.1.2 Example
  • 3.2 Powers of Tan and Secant
    • 3.2.1 Example 1
    • 3.2.2 Example 2
    • 3.2.3 Example 3
  • 3.3 More trigonometric combinations
    • 3.3.1 Example 1
    • 3.3.2 Example 2
• 4 Reduction formula
• 5 Rational functions in Sine and Cosine
  • 5.1 The "tan half angle" substitution
  • 5.2 Alternate Method
    • 5.2.1 Example
• 6 Irrational functions
  • 6.1 Type 1
  • 6.2 Type 2
  • 6.3 Type 3
  • 6.4 Type 4
  • 6.5 Type 5