Evaluate the definite integral ftc with square root

Evaluate the definite integral ftc with square root

Assessment

Interactive Video

Mathematics, Other

11th Grade - University

Hard

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The video tutorial explains the process of rewriting expressions and integrating them using fractional exponents. It covers the steps to evaluate the integral from zero to four, including the conversion of rational powers to radicals. The final calculation is demonstrated, resulting in the answer 40/3.

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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 an expression with a fractional exponent?

Divide by a whole number

Use a radical form

Multiply by a constant

Convert it to a decimal

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When evaluating an integral from zero to a number, what happens to the terms evaluated at zero?

They are squared

They become zero

They are subtracted

They are doubled

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express 4 raised to the power of 3/2 as a radical?

4 squared

Cube root of 4 squared

Square root of 4 cubed

4 cubed

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 2/3 by 8 in the context of this problem?

32/3

24/3

8/3

16/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final answer when the expression is fully evaluated?

24/3

48/3

40/3

32/3