Evaluate the integral with the square root using u substitution

The video tutorial explains the process of using U substitution in integration. It begins by defining U as X + 7 and solving for X. The instructor then sets up the integral using U substitution, ensuring all terms are correctly represented. The integration is performed using the power rule, and the solution is simplified. Finally, the instructor makes adjustments to the solution and plugs back the original variable to complete the process.

What is the value of U in the U substitution method described?

How do you express X in terms of U?

What is the integral of U to the 1/2 power with respect to U?

What mistake did the teacher make regarding the negative sign in the integration process?

What is the final expression after plugging back in U = X + 7?