Instructional Video
Sophia Learning

Sophia: Multiply and Substitute Method: Lesson 1

9th - 10th
The method of multiplying a function by a value of one then substituting to find an indeterminate limit is discussed here. This lesson is 1 of 5 in the series titled "Multiply and Substitute Method."
Instructional Video
Sophia Learning

Sophia: Using the Derivative of Natural Log in Integrals: Lesson 6

9th - 10th
This lesson practices rewriting the integrand as the derivative of a function over the function in order to simplify integration. It is 6 of 7 in the series titled "Using the Derivative of Natural Log in Integrals."
Instructional Video
Sophia Learning

Sophia: Using the Derivative of Natural Log in Integrals: Lesson 7

9th - 10th
This lesson practices rewriting the integrand as the derivative of a function over the function in order to simplify integration. It is 7 of 7 in the series titled "Using the Derivative of Natural Log in Integrals."
Instructional Video
Sophia Learning

Sophia: Multiply and Substitute Method: Lesson 4

9th - 10th
The method of multiplying a function by a value of one then substituting to find an indeterminate limit is discussed here. This lesson is 4 of 5 in the series titled "Multiply and Substitute Method."
Instructional Video
Sophia Learning

Sophia: Using the Derivative of Natural Log in Integrals: Lesson 2

9th - 10th
This lesson practices rewriting the integrand as the derivative of a function over the function in order to simplify integration. It is 2 of 7 in the series titled "Using the Derivative of Natural Log in Integrals."