# Computer Science Resources

up one folder


A list of common formulas, not in any way complete.

## Integration

### Trigonometric substitutions

shape substitution
$$\sqrt{r^2 - x^2}$$ $$x = r \sin u$$ (or $$x = r \cos u$$)
$$\sqrt{x^2 - r^2}$$ $$x = \frac{r}{\cos u}$$
$$\sqrt{x^2 + r^2}$$ $$x = r \tan u$$

## Trigonometry

Most, if not all, trigonometric problems become trivial using following substitutions.

The proof of everything in this vade mecum is left as an exercise to the reader. ;-)

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