Calc Unit 4 What is the power rule of integration

The video tutorial covers the basics of differentiation and integration in calculus. It begins with a review of the power rule for differentiation, explaining how to derive the derivative of a polynomial function. The tutorial then transitions to integration, introducing the concept of integrating a function and the process of adding one to the exponent and dividing by the new exponent. An example is provided to illustrate the integration of a polynomial function, demonstrating the step-by-step process and the resulting integrated function.

What is the result of differentiating x^3 using the power rule?

• 3x^3

• 3x^2

• x^2

• x^3

In integration, what operation is performed on the exponent?

• Divide by two

• Subtract one

• Add one

• Multiply by two

When integrating x^n, what do you divide by after adding one to the exponent?

• n+1

• 2n

• n

• n-1

What is the integral of 3x^2?

• x^2

• 3x^3

• 3x^2

• x^3

How does integration differ from differentiation in terms of operations on the exponent?

• Integration adds one to the exponent

• Integration subtracts one from the exponent

• Integration divides the exponent by two

• Integration multiplies the exponent by two