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Curricula
AP
College Board
Maths
Calculus Ab
Unit 8: Applications of Integration
Unit 8: Applications of Integration
1
Definite Integrals in Context
1.1
Average Value of a Function
1.2
Definite Integrals as Accumulated Change
1.3
Position, Velocity & Acceleration
1.4
Distance & Speed
2
Areas
2.1
Area Between a Curve & x-Axis
2.2
Multiple Areas
2.3
Area Between Two Curves
2.4
Area Between a Curve & y-Axis
3
Volumes with Cross Sections
3.1
Rectangles as Cross Sections
3.2
Semicircles as Cross Sections
3.3
Triangles as Cross Sections
3.4
Squares as Cross Sections
3.5
Volumes from Areas of Known Cross Sections
4
Volumes of Revolution
4.1
Disc Method Around the x-Axis
4.2
Washer Method Around the x-Axis
4.3
Disc Method Around the y-Axis
4.4
Washer Method Around the y-Axis
4.5
Washer Method Around Other Axes
4.6
Disc Method Around Other Axes