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title: Integration Rules
---
## Integration Rules
As with differentiation, we use a variety of rules when integrating functions. Below are a few of the most common.
**The Constant Rule:**
∫k dx = kx + C where k is a constant
**The Power Rule:**
∫ xn dx = + xn+1⁄n+1 + C when n ≠ 1
**Exponential Rule:**
∫ ekx dx = 1⁄kx ekx + C where k is a constant
**Trigometric Rules:**
∫ cos(x) dx = sin(x) + C
∫ sin(x) dx = -cos(x) + C
**Sum/Difference Rules:**
∫[f(x) + g(x)]dx = ∫f(x)dx + ∫g(x)dx
∫[f(x) - g(x)]dx = ∫f(x)dx - ∫g(x)dx
#### More Information:
[Basic Rules with Examples](http://archive.learnhigher.ac.uk/resources/files/Numeracy/Integration_webversion.pdf)
[In Depth Guide to Integrals](http://tutorial.math.lamar.edu/pdf/Calculus_Cheat_Sheet_Integrals.pdf)