Calculus AB covers the fundamental concepts of differential and integral calculus, preparing students for advanced mathematical applications.
Integrals are powerful tools for solving problems involving accumulation, area, and total change.
The most famous use of integrals is finding the area under a curve. They also help calculate the volume of cool shapes by adding up slices.
Integrals give the total change over time, like total distance traveled given a speed function.
An accumulation function keeps track of how much has been added up from a starting point.
Integrals help calculate work done by a force, the amount of paint needed to cover a surface, and even how much medicine is in your bloodstream over time.
\[\int_a^b f(x) , dx\]
Calculating the area under a roller coaster’s path for safe design.
Finding the total water flow from a changing rate over several hours.
Integrals find totals, like area, volume, and accumulated change.