dx-x-x-2-x-1-please-help-

Question Number 66971 by Cmr 237 last updated on 21/Aug/19

\int \frac{dx}{x \sqrt{x^{2} + x + 1}} = ?

p l ease help

Commented by MJS last updated on 21/Aug/19

\int \frac{d x}{x \sqrt{x^{2} + x + 1}} =

[t = \frac{1}{x} \to d x = - x^{2} d t]

= - \int \frac{d t}{\sqrt{t^{2} + t + 1}} =

[u = 2 t + 1 \to d t = \frac{d u}{2}]

= - \int \frac{d u}{\sqrt{u^{2} + 3}}

now it should be easy

Commented by Cmr 237 last updated on 21/Aug/19

t hank sir

Commented by mathmax by abdo last updated on 23/Aug/19

t h i s i n t e g r a l i s s o l v e d s e e t h e Q 66938