Methods of Integration

By M Bourne

This chapter explores some of the techniques for finding more complicated integrals. (If you need to go back to basics, see the Introduction to Integration.)

By studying the techniques in this chapter, you will be able to solve a greater variety of applied calculus problems.

Some of the techniques may look a bit scary at first sight, but they are just the opposite of the basic differentiation formulas and transcendental differentiation formulas.

Also, the methods in this chapter are based on the General Power Formula for Integration which we met before.

Good luck!

You may be interested to read the Introduction to Calculus, which has a brief history of calculus.

In this Chapter

• 1. The General Power Formula
• 2. The Basic Logarithmic Form
• 3. The Exponential Form
• 4. The Basic Trigonometric Forms
• 5. Other Trigonometric Forms
• 6. Inverse Trigonometric Forms
• 7. Integration by Parts
• 8. Integration by Trigonometric Substitution
• 9. Integration by Use of Tables
• Table of Common Integrals
• 10. Integration by Reduction Formulae
• 11. Integration by Partial Fractions

We begin with a fundamental technique, the General Power Formula »