Integration by Parts & Definite Properties
$$\int u v \, dx = u \int v \, dx - \int \left( u' \int v \, dx \right) dx$$
- Selection order: ILATE (Inverse, Logarithmic, Algebraic, Trigonometric, Exponential).
King's Property of Definite Integrals:
$$\int_a^b f(x) dx = \int_a^b f(a + b - x) dx$$
