How to use usub to find the integral with a square root in the denominator

The video tutorial covers the process of U-substitution in calculus, starting with defining the substitution variable and taking its derivative. It addresses handling constants and extra terms, applying the distributive property, and performing integration. The tutorial concludes by simplifying the expression and verifying the solution.

What is the initial substitution made in the u-substitution method discussed?

• u = 2X

• u = X - 1

• u = X + 2

• u = X + 1

Why is it beneficial to factor out constants during integration?

• It changes the result of the integration.

• It helps in simplifying the integration process.

• It is required by integration rules.

• It makes the integration process more complex.

How is the expression 1/sqrt(X + 1) rewritten using u-substitution?

• U to the power of 1/2

• U to the power of -2

• U to the power of -1/2

• U to the power of 2

What is the result of applying the distributive property in the integration process?

• U to the power of -1/2

• U to the power of 3/2

• U to the power of 2

• U to the power of 1/2

What does the constant 'C' represent in the final integration result?

• A general constant

• A specific number

• A variable

• A function