What is the constant rule of integration

The video tutorial explains the concept of derivatives, specifically focusing on the rule that the derivative of a constant is zero. It provides an example using the derivative of the number 5, reinforcing that the result is zero. The tutorial then transitions into integration, explaining that integrating zero results in a constant, often denoted as C. This constant is crucial in understanding the integration of functions, as it represents the arbitrary constant added to indefinite integrals.

What is the derivative of a constant, such as the number 5?

• 0

• 5

• Undefined

• 1

When integrating zero, what is the result?

• Zero

• The original function

• Infinity

• A constant value

Why can you always add zero when integrating a function?

• Because it is required by calculus rules

• Because it simplifies the function

• Because it does not affect the result

• Because it changes the function

What does the integration of zero typically yield in calculus?

• A variable

• A polynomial

• A constant C

• A derivative

What is the significance of adding a constant C when integrating?

• It represents the derivative

• It is used to find limits

• It accounts for the constant of integration

• It is a placeholder for variables