Introduction to integration
Calculating definite integrals
The rule to finding the definite integral is:
\[ \int^b_a f(x) \; \mathrm{d}x = \Big[F(x)\Big]^b_a = F(b)-F(a)\]
For example evaluate the definite integrals:
- \(\displaystyle \int^4_1\left(\frac{1}{x} + \frac{1}{\sqrt{x}}\right) \; \mathrm{d}x\)
- \(\displaystyle \int^{\pi/2}_0(\cos \theta + \sin \theta) \; \mathrm{d}\theta\)
To do
- Definite Integration worksheet (sigma Mathematics and Statistics Support Coventry University)
More info
- Integration Rules (Study Support, USQ Library)
- Evaluating definite integrals quick reference (mathcentre)
- Area between a curve and the \(x\)-axis video (Khan Academy)