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