This is the second volume in the 'Al-Kamil in Mathematics' series by Husam Mohammed Abdi. This comprehensive guide delves into two critical areas of advanced mathematics: integration and its diverse applications, and the study of conic sections. It is meticulously designed for students seeking a deep understanding of these subjects, providing clear explanations, solved examples, and extensive exercises. The book systematically covers topics from basic integration techniques to more complex applications, alongside a thorough exploration of parabolas, ellipses, and hyperbolas, making it an essential resource for academic success and self-study in mathematics.