Practical Class 10. Indefinite Integral

This practical session introduces the indefinite integral and the method of direct integration. It begins with a theoretical review of antiderivatives, the fundamental theorem, and the geometric interpretation of the integral as a family of curves. Students must memorize the table of basic integrals and practice applying linearity properties. The session covers simple power, exponential, and trigonometric integrals, then progresses to algebraic manipulations such as expanding brackets, dividing polynomials, converting roots to powers, and using trigonometric identities. Three versions of independent work with answers are provided, along with additional challenging problems. The session concludes with homework instructions and a summary of key skills.