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The Sum Rule, the Constant Multiple Rule, and the Power Rule for Integration

Part of the Calculus II For Dummies Cheat Sheet

When you perform integration, there are three important rules that you need to know: the Sum Rule, the Constant Multiple Rule, and the Power Rule.

The Sum Rule for Integration tells you that it’s okay to integrate long expressions term by term. Here it is formally:

image0.png

The Constant Multiple Rule for Integration tells you that it’s okay to move a constant outside of an integral before you integrate. Here it is expressed in symbols:

image1.png

The Power Rule for Integration allows you to integrate any real power of x (except –1). Here’s the Power Rule expressed formally:

where n ≠ –1

image2.png
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