How to integrate when there is a radical in the denominator

The video tutorial addresses common misconceptions about math skills, particularly in mental calculations. It introduces the substitution method in calculus, explaining initial steps and the process of finding an antiderivative. The tutorial delves into U-substitution, detailing its application and the importance of countering terms during integration. The session concludes with a recap and addresses common issues learners face, emphasizing the importance of understanding the underlying concepts.

How does the teacher arrive at the final answer of sqrt(X^2 + 1) + C?

Describe the relationship between the derivative of X^2 + 1 and the substitution used.