Question Number 23020 by ANTARES_VY last updated on 25/Oct/17
$$\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\frac{\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{1}}{\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{x}}−\mathrm{2}}\boldsymbol{\mathrm{dx}}=? \\ $$
Commented by Joel577 last updated on 25/Oct/17
$${it}'{s}\:{already}\:{done} \\ $$
Commented by ANTARES_VY last updated on 25/Oct/17
$$\boldsymbol{\mathrm{calculate}} \\ $$
Commented by ANTARES_VY last updated on 25/Oct/17
$$\boldsymbol{\mathrm{calculate}} \\ $$
Answered by $@ty@m last updated on 27/Oct/17
![=[ln (2x^2 +x−2)]_1 ^3 =ln 19−ln 1 =ln 19](https://www.tinkutara.com/question/Q23120.png)
$$=\left[\mathrm{ln}\:\left(\mathrm{2}{x}^{\mathrm{2}} +{x}−\mathrm{2}\right)\underset{\mathrm{1}} {\overset{\mathrm{3}} {\right]}} \\ $$$$=\mathrm{ln}\:\mathrm{19}−\mathrm{ln}\:\mathrm{1} \\ $$$$=\mathrm{ln}\:\mathrm{19} \\ $$
Commented by ajfour last updated on 26/Oct/17
$$\mathrm{ln}\:\mathrm{19} \\ $$
Commented by $@ty@m last updated on 27/Oct/17
$${Thanks}\:{for}\:{correction}… \\ $$