What is the primary focus of the introduction to integration?

The primary focus of the introduction to integration is on the general concept of integration as a mathematical operation. This foundational aspect lays the groundwork for understanding how integration functions as a tool for calculating areas under curves, the accumulation of quantities, and solving differential equations, among other applications. By grasping the fundamental ideas behind integration, such as the process of summing infinitesimal quantities, students can build upon this knowledge to explore more advanced topics, such as methods of integration, applications in physics and engineering, and the rigorous definitions of integrals.

In contrast, the rigorous definitions of integrals, while important, typically follow the initial understanding of what integration means. Likewise, exploring applications and historical context are valuable, but they generally arise after a basic comprehension of integration as a concept has been established. Thus, the emphasis at the introduction stage is on effectively conveying the essence of integration as a mathematical operation.