How to find the integral with a radical

The video tutorial covers the application of the power rule in integration, focusing on rewriting expressions and finding common denominators. It explains the process of multiplying exponents and highlights common mistakes in integration. The tutorial concludes with simplifying the integral to reach the final solution, emphasizing the importance of adding and dividing by the correct values.

What mistake did the teacher realize regarding the addition of exponents?

What is the final answer for the integral as stated in the text?