Sophia Learning
Sophia: Finding a Difference of Integrals: Lesson 4
This lesson practices subtracting one integral from another, when the integrands are functions of the same variable. It is 4 of 5 in the series titled "Finding a Difference of Integrals."
Sophia Learning
Sophia: Finding a Difference of Integrals: Lesson 5
This lesson practices subtracting one integral from another, when the integrands are functions of the same variable. It is 5 of 5 in the series titled "Finding a Difference of Integrals."
Sophia Learning
Sophia: Finding a Particular Solution: Lesson 4
This lesson practices finding particular solutions using initial conditions. It is 4 of 6 in the series titled "Finding a Particular Solution."
Sophia Learning
Sophia: Finding a Particular Solution: Lesson 5
This lesson practices finding particular solutions using initial conditions. It is 5 of 6 in the series titled "Finding a Particular Solution."
Sophia Learning
Sophia: Finding a Particular Solution: Lesson 6
This lesson practices finding particular solutions using initial conditions. It is 6 of 6 in the series titled "Finding a Particular Solution."
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: Using Integration in Many Ways: Lesson 5
This lesson practices using integration to solve problems not involving time or spatial parameters. It is 5 of 5 in the series titled "Using Integration in Many Ways."
Sophia Learning
Sophia: Using the Derivative of Natural Log in Integrals: Lesson 6
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."
Sophia Learning
Sophia: Using the Derivative of Natural Log in Integrals: Lesson 7
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."
Sophia Learning
Sophia: Using the Differential: Lesson 2
This lesson practices writing and using derivatives in terms of differentials. It is 2 of 5 in the series titled "Using the Differential."
Sophia Learning
Sophia: Using the Differential: Lesson 3
This lesson practices writing and using derivatives in terms of differentials. It is 3 of 5 in the series titled "Using the Differential."
Sophia Learning
Sophia: Using the Differential: Lesson 4
This lesson practices writing and using derivatives in terms of differentials. It is 4 of 5 in the series titled "Using the Differential."
Sophia Learning
Sophia: Using the Differential: Lesson 5
This lesson practices writing and using derivatives in terms of differentials. It is 5 of 5 in the series titled "Using the Differential."
Sophia Learning
Sophia: Volume Integrals: Lesson 2
The idea that integration can be used to determine a volume is discussed here. This lesson is 2 of 5 in the series titled "Volume Integrals."
Sophia Learning
Sophia: Volume Integrals: Lesson 3
The idea that integration can be used to determine a volume is discussed here. This lesson is 3 of 5 in the series titled "Volume Integrals."
Sophia Learning
Sophia: Volume Integrals: Lesson 5
The idea that integration can be used to determine a volume is discussed here. This lesson is 5 of 5 in the series titled "Volume Integrals."
Sophia Learning
Sophia: Finding a Particular Solution: Lesson 2
This lesson practices finding particular solutions using initial conditions. It is 2 of 6 in the series titled "Finding a Particular Solution."
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: Using the Derivative of Natural Log in Integrals: Lesson 2
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."