Calc Unit 4 How to use the power rule to find an antiderivative of the following function

The video tutorial explains how to handle negative exponents in mathematical expressions. It begins with an example of writing an expression with a negative exponent, then simplifies the expression by factoring out a constant. The tutorial proceeds to integrate the expression, detailing each step, including adding one to the exponent and dividing by the new exponent. The final result is presented, and the importance of remembering the integration rule is emphasized.

What is the initial expression given in the example with a negative exponent?

• 1/5 X to the third

• X to the negative third

• 1/5 X to the negative third

• 5 X to the negative third

What is the first step in the integration process described in the video?

• Multiply by 1/5

• Divide by the new exponent

• Add one to the exponent

• Take out the constant 1/5

After taking out the constant, what is the next step in integrating X to the negative third?

• Divide by 1/5

• Subtract one from the exponent

• Multiply by 2

• Add one to the exponent

What is the result of integrating X to the negative third after simplifying?

• 1/5 X squared plus C

• Negative 1/5 X squared plus C

• 1/10 X squared plus C

• Negative 1/10 X squared plus C

What rule is important to remember when finalizing the integration?

• Always subtract one from the exponent

• Always add one to the exponent

• Always divide by the new exponent

• Always multiply by the original exponent