Calculus II: Integration By Parts (Level 3 of 6)

Calculus II: Integration By Parts (Level 3 of 6)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers integration by parts, focusing on problems requiring multiple applications of the formula. It provides a detailed solution for integrating x^2 * cos(x) and highlights potential errors in repeated applications. The tutorial introduces the tabular method as a shortcut for certain integrals, demonstrating its use with an example involving x^2 * sin(pi * x).

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the integration by parts formula?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of assigning u and dv in the integration by parts method.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the best choice for u in integration by parts?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the constant C in the final integral result?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What caution should be taken when making repeated applications of the integration by parts formula?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the tabular method for integration by parts.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you set up the table for the tabular method?

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