- Definite integral of f(x) from a to b can be calculated as F(b) - F(a) where F is any antiderivative of f
- Examples
- The basic idea...
- Using power and sum (and constant multiple) rules...
- Trigonometric functions...
- With non-obvious antiderivative...
- The basic idea...
- The last definite integral example illustrated that antiderivatives aren’t always easy to find; sometimes need more powerful ways to do it
- Substitution is one more powerful method
- Works on integrands that could have been produced by using the
chain rule
- For example...
- More integration by substitution
- Read Section 5.5