Calculus Unit 4 How to take the integral of square root of x

The video tutorial explains how to find antiderivatives using the power rule. It begins by representing the function as X to the 1/2 and demonstrates the integration process by adding 1 to the exponent. The instructor introduces a simplification technique by using equivalent fractions, making the process easier. The tutorial concludes with the final steps of integration, emphasizing the importance of adding the constant C.

What is the first step in finding an antiderivative using the power rule?

• Subtract 1 from the exponent

• Multiply the exponent by 2

• Represent the function as a power of X

• Divide the function by its exponent

Why is it beneficial to use equivalent fractions instead of adding one directly during integration?

• It changes the function to a different form

• It reduces the number of steps required

• It makes the function more complex

• It simplifies the process by avoiding common denominators

What is the equivalent of adding one when using equivalent fractions?

• 4/4

• 3/3

• 2/2

• 1/2

What should you do after finding the new exponent during integration?

• Multiply by the original exponent

• Divide by the new exponent

• Subtract the new exponent

• Add the new exponent

What is the final step in the integration process?

• Divide by a constant

• Multiply by a constant

• Add a constant of integration, C

• Subtract a constant