The General Power Formula | Fundamental Integration Formulas

The General Power Formula as shown in Chapter 1 is in the form

$\displaystyle \int u^n \, du = \dfrac{u^{n+1}}{n+1} + C; \,\,\, n \neq -1$


Thus far integration has been confined to polynomial functions. Although the power formula was studied, our attention was necessarily limited to algebraic integrals, so that further work with power formula is needed. The power formula can be used to evaluate certain integrals involving powers of the trigonometric functions.