1. Divide the time interval into subintervals. 2. Construct rectangles with widths equal to the subinterval lengths. 3. Determine the height of each rectangle (usually the function value at the left, right, or midpoint of the subinterval). 4. Calculate the area of each rectangle. 5. Sum the areas of all rectangles to approximate the total distance.

1. Graph the piecewise function. 2. Divide the graph into geometric shapes (rectangles, triangles, trapezoids). 3. Calculate the area of each shape. 4. Sum the areas, considering signed areas, to find the total distance.

Use the formula $t = \frac{a}{r}$, where $t$ is time, $a$ is accumulation, and $r$ is the rate of change.

The area represents the displacement (total distance traveled) of the object.

A negative area indicates movement in the opposite direction or a decrease in distance from the starting point.

The area under a velocity-time graph represents the total distance traveled.

The exact area under a curve between two specified limits.

Riemann Sums use rectangles to approximate the area, which may not perfectly match the curve, leading to over or underestimations.

Integration is the reverse process of differentiation; it finds the original function before differentiation.