How to apply u substitution to find the antiderivative of a rational expression

How to apply u substitution to find the antiderivative of a rational expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of integrating a binomial expression raised to the fifth power using U substitution. It begins by identifying the binomial and setting up the U substitution, followed by differentiating U and setting up the integration problem. The tutorial then demonstrates rewriting the expression with a negative power and integrating it. Finally, it concludes with the integration result and a reminder of the technique used.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the expression for U in the integration process described?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How is du expressed in terms of X?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of integrating U to the negative 5th power?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the constant C in the integration result.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What should one remember when dealing with integration techniques involving division?

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