Ethan and Hailey settled into the last row of the vast calculus auditorium. The seats were old, padded, and blessedly far from the gaze of the professor. Up front, Ming and Max were already absorbing the material like human sponges.
The aging Calculus professor, whose name Ethan hadn't bothered to learn, adjusted his tie and began his lecture.
"Good morning. Today, we delve deeper into the fundamental theorem of calculus," the professor droned, scratching a complex, multi-variable equation onto the whiteboard. "We've established the concept of the definite integral—the area under the curve—and today, we link it back to the derivative. For example, consider the function f(x) = frac{x^3}{3} + 4x. The derivative, f'(x), gives us the instantaneous rate of change..."
