Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

E [ ( X u ) k ] = 0 u x k f ( x ) d x + u u k f ( x ) d x = 0 u x k f ( x ) d x + u k ( 1 F ( u ) )

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} E[(X \wedge u)^ k] & = \int _{0}^{u} x^ k f(x) dx + \int _{u}^{\infty } u^ k f(x) dx \\ & = \int _{0}^{u} x^ k f(x) dx + u^ k (1 - F(u)) \end{align*}