Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.

# Author: Justin

Investigate translations (x-h) and (y-k) of a straight line with a gradient (m).

Categories

## Families of graphs

Circle graph

Ellipse graph

Hyperbola graph

Truncus graph

Square root graph

- Gradient of lines
- Graphing linear equations
- Finding the equation of a line
- Perpendicular lines
- Distance between points
- Midpoint of a line

- Sample proportions
- Sampling distribution – small populations
- Sampling distribution – large populations
- Sampling distribution – normal distribution approximation
- Mean & variance of a sample proportion
- Sampling distribution – comparing approximations
- Confidence intervals
- Margin of error

- Probability density functions
- Calculating probabilities
- Median value
- Mean value
- Variance
- Cumulative probability distributions

- Area under curves
- Left end-point approximation
- Right end-point approximation
- Improvements to rectangle approximations
- Find the total from a rate

Categories

## Integration

- Find the total from a rate
- Anti-differentiation
- Rules for anti-differentiation
- Examples of anti-derivative functions
- Finding the original function
- Area under a curve – integration
- Signed area