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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers advanced integration techniques, focusing on integration by parts and substitution. It provides two examples: one involving a polynomial and another with an inverse trigonometric function. The tutorial emphasizes the importance of choosing the right technique and adjusting limits of integration when necessary.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What integration techniques are mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of U substitution as described in the text.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of breaking the integral into R-squared and R/sqrt(4 + r squared)?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate the integral from zero to one of the given function?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are taken to handle the limits of integration when using U substitution?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the final result of the integration by parts as presented in the text.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What caution is advised regarding integrals that require both integration by parts and U substitution?

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