Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.
Category: Unit 2
- 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
Categories
Unit circle
A graphical representation of sin, cos & tan values around the circle.
- Values of sin x , cos x & tan x,
- Graphs of sin x & cos x,
- Transformations of sin graphs,
- Solving circular function equations,
- Graphs of tan x
Categories
Differentiation
- Differentiation by first principles
- Differentiation of polynomials
- Examples of derivative functions & gradients
- Graphs of derivative functions
- Tangents
- Normal lines
- Finding stationary points
Categories
Sin graph
Investigate changes to the amplitude, dilation, horizontal and vertical translation of a sin graph.
Categories
Tangent & normal lines
Explore the relationship between the tangent and normal at points on a parabola.