In this video basic methods of trigonometric integrals are explained. The focus is on understanding how to solve a specific type of trigonometric integral using simple formulas involving sine and cosine functions. These formulas require recognizing patterns where the derivative of a function appears outside the sine or cosine function. The video reviews two main formulas: one for integrating sine of a function with its derivative outside, and another for integrating cosine of a function with its derivative outside. Several examples are provided to illustrate how to apply these formulas, including cases where the function is x, three times x, and x squared. By recognizing the patterns and applying the formulas correctly, trigonometric integrals can be solved easily. The video aims to help viewers understand and master these basic methods of trigonometric integration.