How to use usub to find the integral with a square root in the denominator

How to use usub to find the integral with a square root in the denominator

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

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The video tutorial covers the process of U-substitution in calculus, starting with defining the substitution variable and taking its derivative. It addresses handling constants and extra terms, applying the distributive property, and performing integration. The tutorial concludes by simplifying the expression and verifying the solution.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of substitution used in the derivative calculation.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of taking out constants during integration?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you rewrite the expression involving U and X in the context of this problem?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the steps taken to find the integral after applying the distributive property.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression obtained after replacing U back with X?

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