Back-end CASE tools primarily focus on what aspect of software development?

Back-end CASE (Computer-Aided Software Engineering) tools primarily aim to support the technical aspects of software development that occur after the initial design phases. These tools are crucial in the process of turning high-level specifications into actual runnable code, providing automation and assistance in coding, debugging, and testing.

The correct answer emphasizes the role of back-end CASE tools in the conversion of specifications into program code. This involves generating code from design models or implementing system logic based on defined specifications, which is a pivotal part of the software development life cycle. By automating this process, back-end CASE tools streamline development, reduce manual errors, and promote consistency in coding practices.

The other options relate to various stages and aspects of software development but do not specifically capture the primary focus of back-end CASE tools. For instance, capturing design specifications pertains more to front-end tools that assist in the planning and design phases. Integrating legacy tools and integrating databases with user interfaces refer to more specialized functions that might not solely depend on the back-end development process, further distinguishing them from the primary focus of back-end CASE tools.