Calc Unit 4 Simplifying a rational expression and then finding an antiderivative

The video tutorial discusses the absence of a specific integration technique for a given problem and suggests simplifying the expression to apply the power rule. An example is provided, demonstrating how to rewrite expressions for easier integration. The power rule is applied, and the integration process is completed, resulting in a simplified expression with a constant of integration.

What does the speaker mean by 'applying my power rule'?

What does the speaker imply by 'Plus C' in the integration result?