How to evaluate the definite integral with trig and u substitution

How to evaluate the definite integral with trig and u substitution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of evaluating integrals using U-substitution. It begins with an introduction to the concept, followed by transforming integrals and derivatives. The tutorial then covers changing the bounds of integration when substituting variables and concludes with integrating and evaluating the function using the unit circle.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between U and X in the context of the integral discussed?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of changing the integral from X to U. What steps are involved?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the upper and lower bounds change when switching from X to U?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of integrating negative cosine from the given bounds?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the significance of the unit circle in evaluating the cosine values mentioned.

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