Calculus II : Integration By Parts (Level 5 of 6)

The video tutorial covers the application of integration by parts to solve definite integrals. It begins with a brief overview of the technique and its relation to the fundamental theorem of calculus. Three examples are provided: integrating X times sin(3X), X times 5^X, and (X^2 + 1) times e^(-X). The tutorial demonstrates step-by-step solutions, including the use of the tabular method for more complex integrals.

What is the main difference between definite and indefinite integrals as discussed in the video?

Explain the formula for evaluating definite integrals using integration by parts.

How do you select 'u' and 'dv' when using integration by parts?

What are the key steps to evaluate an integral using integration by parts?

What is the result of evaluating the integral from zero to π of X times sine of three X?

Describe the process of using the tabular method for integration by parts.

What is the final expression for the integral from zero to one of the quantity X^2 + 1 times e to the negative X?