Setup Menus in Admin Panel

  • No products in the cart.

Antiderivatives of Logarithmic Functions

Som formulas for computing antiderivatives of logarithmic functions are deduced.

Antiderivative of the Function y = \nicefrac{1}{(u\,\ln u)}

In this case, let: v = \ln u, so that dv = \nicefrac{du}{u}. Rewrite the antiderivative as follows:

    \begin{equation*} 	\int \frac{du}{u\,\ln u} = \int \frac{1}{\ln u}\cdot \frac{du}{u}  		= \ln\left\vert \ln |u| \right\vert + C \end{equation*}

SEE ALL Add a note
Add your Comment
All rights reserved.