Sophia Learning
Sophia: Finding a Left Riemann Sum: Lesson 1
This lesson shows how to use a left Riemann sum to approximate the area under a given interval of a function. This is just one method of approximating areas using Riemann sums. It is 1 of 5 in the series titled "Finding a Left Riemann Sum."
Sophia Learning
Sophia: Finding a Right Riemann Sum: Lesson 2
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 2 of 7 in the series titled "Finding a Right Riemann Sum."
Sophia Learning
Sophia: Finding a Right Riemann Sum: Lesson 3
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 3 of 7 in the series titled "Finding a Right Riemann Sum."
Sophia Learning
Sophia: Modified Limits of Integral: Lesson 3
This lesson introduces the possibility of changing the scale of definite integration to expedite the process. It is 3 of 4 in the series titled "Modified Limits of Integral."
Sophia Learning
Sophia: Units and Integration: Lesson 4
Given an integral with specific parameters, this lesson shows how to properly adjust those parameters when evaluating the integral. It is 4 of 4 in the series titled "Units and Integration."
Sophia Learning
Sophia: Using Integration by Parts: Lesson 5
Integrating by using the method of integration by parts is demonstrated here. This lesson is 5 of 8 in the series titled "Using Integration by Parts."
Sophia Learning
Sophia: Using Integration by Parts: Lesson 6
Integrating by using the method of integration by parts is demonstrated here. This lesson is 6 of 8 in the series titled "Using Integration by Parts."
Sophia Learning
Sophia: Using Integration by Parts: Lesson 7
Integrating by using the method of integration by parts is demonstrated here. This lesson is 7 of 8 in the series titled "Using Integration by Parts."
Sophia Learning
Sophia: Units and Integration: Lesson 3
Given an integral with specific parameters, this lesson shows how to properly adjust those parameters when evaluating the integral. It is 3 of 4 in the series titled "Units and Integration."
Sophia Learning
Sophia: Finding a Left Riemann Sum: Lesson 3
This lesson shows how to use a left Riemann sum to approximate the area under a given interval of a function. This is just one method of approximating areas using Riemann sums. It is 3 of 5 in the series titled "Finding a Left Riemann Sum."
Sophia Learning
Sophia: Finding a Right Riemann Sum: Lesson 4
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 4 of 7 in the series titled "Finding a Right Riemann Sum."
Sophia Learning
Sophia: Finding a Right Riemann Sum: Lesson 5
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 5 of 7 in the series titled "Finding a Right Riemann Sum."
Sophia Learning
Sophia: Modified Limits of Integral: Lesson 2
This lesson introduces the possibility of changing the scale of definite integration to expedite the process. It is 2 of 4 in the series titled "Modified Limits of Integral."
Sophia Learning
Sophia: Modified Limits of Integral: Lesson 4
This lesson introduces the possibility of changing the scale of definite integration to expedite the process. It is 4 of 4 in the series titled "Modified Limits of Integral."
Sophia Learning
Sophia: Units and Integration: Lesson 2
Given an integral with specific parameters, this lesson shows how to properly adjust those parameters when evaluating the integral. It is 2 of 4 in the series titled "Units and Integration."
Sophia Learning
Sophia: Using Integration by Parts: Lesson 1
Integrating by using the method of integration by parts is demonstrated here. This lesson is 1 of 8 in the series titled "Using Integration by Parts."
Sophia Learning
Sophia: Using Integration by Parts: Lesson 8
Integrating by using the method of integration by parts is demonstrated here. This lesson is 8 of 8 in the series titled "Using Integration by Parts."
Sophia Learning
Sophia: Finding a Right Riemann Sum: Lesson 1
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 1 of 7 in the series titled "Finding a Right Riemann Sum."