Applications of Integration

This study guide covers integration applications, including calculating the average value of a function, modeling particle motion (position, velocity, acceleration, displacement, distance traveled) and net change, and determining areas and volumes. Key concepts include the average value formula, definite integrals for displacement and distance, accumulation functions, finding areas between curves (with intersections), calculating volumes using cross-sections (square, rectangular), the disc method, and the washer method. Additionally, for BC Calculus, arc length and distance traveled are covered.