EE-Learning
Analyzing problems involving definite integrals
Catogry:
Math
Subject:
AP Calculus AB
Course:
Applications Of Integration
Lecture List
Washer method rotating around vertical line (not y-axis), part 2
Washer method rotating around vertical line (not y-axis), part 1
Washer method rotating around horizontal line (not x-axis), part 2
Washer method rotating around horizontal line (not x-axis), part 1
Generalizing the washer method
Solid of revolution between two functions (leading up to the washer method)
Calculating integral disc around vertical line
Disc method rotating around vertical line
Disc method rotation around horizontal line
Disc method around y-axis
Generalizing disc method around x-axis
Disc method around x-axis
Volume with cross sections: triangle
Volume with cross sections: semicircle
Volume with cross sections: intro
Horizontal area between curves
Area between a curve and and the 𝘺-axis
Composite area between curves
Worked example: area between curves
Area between curves
Area between a curve and the x-axis: negative area
Area between a curve and the x-axis
Worked example: problem involving definite integral (algebraic)
Analyzing problems involving definite integrals
Worked examples: interpreting definite integrals in context
Interpreting definite integral as net change
Area under rate function gives the net change
Average acceleration over interval
Worked example: motion problems (with definite integrals)
Analyzing motion problems: total distance traveled
Analyzing motion problems: position
Motion problems with integrals: displacement vs. distance
Mean value theorem for integrals
Calculating average value of function over interval
Average value over a closed interval