Find all real numbers p such that $\displaystyle \int_2^{\infty}\frac{1}{x(\ln x)^p} dx$ converges
Follow Math Help Forum on Facebook and Google+
Originally Posted by acevipa Find all real numbers p such that $\displaystyle \int_2^{\infty}\frac{1}{x(\ln x)^p} dx$ converges Let $\displaystyle u = \ln x$ so your integral becomes $\displaystyle \int_{\ln 2}^{\infty} \frac{du}{u^p}$. Look familar?
Originally Posted by Danny Let $\displaystyle u = \ln x$ so your integral becomes $\displaystyle \int_{\ln 2}^{\infty} \frac{du}{u^p}$. Look familar? Where did the x go?
Originally Posted by acevipa Where did the x go? 1/x went with the du. du=1/x. Also I would prefer first solving the indefinite integral. It's much better approach.
View Tag Cloud