12.3 Integrals
• Integrals are often referred to as anti-derivatives
• definite integrals have boundaries defines. Indefinitie integrals do not have boundaries defines and a constant must be added to the result.
• To set up integrals use integration elements (aka slices),
• Some basic properties of indefinite integrals (no given start and end limits) include,
• Some of the trigonometric integrals are,
• Some other integrals of use that are basically functions of x are,
• Integrals using the natural logarithm base ‘e’,
12.3.1 Integration Examples
• Integration by parts - It is normal to have to do the integration by parts more than once to solve a problem.
• Substitution.
• Partial fractions can be used to reduce complex polynomials to simple to integrate forms.