How to use u substitution to find the indifinite integral

The video tutorial guides students through the process of solving an integration problem by rewriting variables, simplifying the equation, and performing the integration. It emphasizes the importance of expressing all terms in terms of a single variable and demonstrates the step-by-step process of integrating a function by simplifying it into a rational power form.

What is the first step when rewriting an expression in terms of a new variable U?

• Identify and account for all constants.

• Ensure all terms are expressed in terms of U.

• Directly integrate the expression.

• Ignore the original variable.

Why is it important to cover all variables and constants before proceeding with integration?

• To make the equation more complex.

• To ensure the integration process is accurate.

• To eliminate the need for substitution.

• To avoid using the variable U.

What is the purpose of rewriting expressions to rational powers during integration?

• To make the expression more difficult to solve.

• To simplify the integration process.

• To avoid using constants.

• To change the variable of integration.

How can constants be managed during the integration process?

• By adding them to the variable U.

• By pulling them out of the integral.

• By integrating them separately.

• By ignoring them.

What is the result of integrating U to the power of 3/2?

• U to the power of 3/2 multiplied by 2/3

• U to the power of 5/2 divided by 5/2

• U to the power of 3/2 divided by 3/2

• U to the power of 5/2 multiplied by 2/5