Integration

The idea

Integration reverses differentiation: $\int x^n\,dx = \frac{x^{n+1}}{n+1} + c$ for $n \ne -1$. Add one to the power and divide by the new power. The constant $c$ is found from a point on the curve.

1. Rewrite roots and fractions as powers of $x$.
2. Integrate term by term and add $+ c$.
3. If you know a point on the curve, substitute it to find $c$.

Watch out An indefinite integral always needs $+ c$.