# Maths - Integration by Parts

> Source: https://ollybritton.com/notes/a-level/maths/topics/integration-by-parts/ · Updated: 2021-05-06 · Tags: school, integration, maths

## See Also
- [Maths - Integration](https://ollybritton.com/notes/a-level/maths/topics/integration/)
- [Maths - Integration by Substitution](https://ollybritton.com/notes/a-level/maths/topics/integration-by-substiution/)
- [Further Maths - Integrating and Differentiating Inverse Trig Functions](https://ollybritton.com/notes/a-level/further-maths/topics/integrating-and-differentiating-inverse-trig-functions/)

## Flashcards
##### $$\int u \frac{dv}{dx} dx$$ How can you rewrite this??
$$
uv - \int v \frac{du}{dx}
$$

##### What table of $4$ variables should you create when doing integration by parts?/
$$
u, v, \frac{du}{dx}, \frac{dv}{dx}
$$

##### $$\int x e^x dx$$ What are the variables you'd use for integration by parts??
$$
u = x \\\\
\frac{dv}{dx} = e^x
$$

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