How to find the integral with a radical

How to find the integral with a radical

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the application of the power rule in integration, focusing on rewriting expressions and finding common denominators. It explains the process of multiplying exponents and highlights common mistakes in integration. The tutorial concludes with simplifying the integral to reach the final solution, emphasizing the importance of adding and dividing by the correct values.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in rewriting the expression Y^2 of ZY as an integral?

Multiply by the reciprocal

Find common denominators

Add 1 to the exponent

Divide by the new exponent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

During the integration process, what must be done after adding 1 to the exponent?

Multiply by the reciprocal

Add 2 to the exponent

Subtract 1 from the exponent

Divide by the new exponent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mistake was corrected during the integration process?

Forgetting to multiply by the reciprocal

Using the wrong denominator

Incorrectly simplifying the expression

Not adding 1 to the exponent

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the denominator eliminated in the final step of simplification?

By dividing by the original denominator

By adding 1 to the exponent

By multiplying by the reciprocal

By subtracting 1 from the exponent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the integral?

2 sevenths, Y to the seven halves plus C

Y to the five halves plus C

2 fifths, Y to the five halves plus C

Y to the seven halves plus C