show-that-1-x-2-1-dx-is-unsolvable-

Question Number 153063 by talminator2856791 last updated on 04/Sep/21

show that

\int_{- \infty}^{\infty} \frac{1}{\sqrt{x^{2} + 1}} d x

is unsolvable

Commented by amin96 last updated on 04/Sep/21

very interesting question

Commented by MJS_new last updated on 04/Sep/21

can we solve \int x^{x} d x or \int \frac{d x}{x^{x}} ?

Commented by talminator2856791 last updated on 04/Sep/21

no .

those cant be solved .

but how to prove that ?

Commented by MJS_new last updated on 04/Sep/21

I {don}^{'} t think we can prove it .

Commented by mathdanisur last updated on 04/Sep/21

= \underset{n = 0}{\sum^{\infty}} [\frac{{(- 1)}^{n}}{{(n + 1)}^{n + 1}}]