Learning Objectives:

__Math Tutoring on Double Integrals__

We can integrate functions of two variables in a similar way we determine partial derivatives of functions of two variables.

· If integrating with respect to **‘ x’**, treat

· If integrating with respect to **‘ y’**, treat

In math tutoring, we can only recover part of the original function when we integrate partial derivative. As a result, the Constant of Integration will be ** C(y)** or

*Double Integral:*

Now that we can integrate a function of two variables, we will begin a study of the Integral of an Integral or Double Integral also called an Iterated Integral.

*Some Applications of Double integrals are as Follows:*

· Volume under a Surface

· The area under a Curve.

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**Hook Questions:**

*1. **Define Double Integral.*

*2. **State some applications of Double Integral.*

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