Question Number 152160 by peter frank last updated on 26/Aug/21 $$\int\left[\frac{\mathrm{1}}{\mathrm{log}\:\mathrm{x}}−\frac{\mathrm{1}}{\left(\mathrm{log}\:\mathrm{x}\right)^{\mathrm{2}} }\right]\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 26/Aug/21 $$\mathrm{F}\left({x}\right)\:=\:\int\left(\frac{\mathrm{1}}{\mathrm{log}{x}}−\frac{\mathrm{1}}{\mathrm{log}^{\mathrm{2}} {x}}\right){dx} \\ $$$$\mathrm{F}\left({x}\right)\:=\:\int\frac{\mathrm{log}{x}−\mathrm{1}}{\mathrm{log}^{\mathrm{2}}…
Question Number 86626 by sakeefhasan05@gmail.com last updated on 29/Mar/20 $$\int\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{4}}\:\:\mathrm{dx} \\ $$$$\mathrm{answer}\:\mathrm{quick}\:\mathrm{pls} \\ $$ Commented by sakeefhasan05@gmail.com last updated on 30/Mar/20 Commented by mathmax…
Question Number 152163 by peter frank last updated on 26/Aug/21 $$\int\left(\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{5x}+\mathrm{3}}{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{2}}\right)\mathrm{dx} \\ $$ Answered by Paradoxical last updated on 26/Aug/21 Commented by peter…
Question Number 86615 by ar247 last updated on 29/Mar/20 $$\int\sqrt{{tan}\:{x}\:}{dx} \\ $$ Commented by Ar Brandon last updated on 29/Mar/20 $${let}\:\:{t}^{\mathrm{2}} ={tan}\:{x}\:\:\Rightarrow\mathrm{2}{tdt}={sec}^{\mathrm{2}} {xdx} \\ $$$$\Rightarrow{dx}=\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{4}}…
Question Number 21077 by j.masanja06@gmail.com last updated on 11/Sep/17 $${integrate}\:{with}\:{respect}\:{to}\:{x} \\ $$$$\int\frac{{dx}}{\mathrm{9}{x}^{\mathrm{2}} \:+\mathrm{6}{x}+\mathrm{10}} \\ $$ Answered by Joel577 last updated on 12/Sep/17 $$\mathrm{9}{x}^{\mathrm{2}} \:+\:\mathrm{6}{x}\:+\:\mathrm{1}\:+\:\mathrm{9} \\…
Question Number 21076 by j.masanja06@gmail.com last updated on 11/Sep/17 $${integrate}\:{with}\:{respect}\:{to}\:{x} \\ $$$$\int{x}^{{sinx}} \\ $$ Answered by FilupS last updated on 17/Sep/17 $$\int{x}^{\mathrm{sin}\left({x}\right)} {dx}=\int{e}^{\mathrm{sin}\left({x}\right)\mathrm{ln}\left({x}\right)} {dx} \\…
Question Number 86613 by Ar Brandon last updated on 29/Mar/20 $$\int_{\mathrm{0}} ^{\frac{\mathrm{1}}{\mathrm{2}}} \int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{1}}{{ycos}\left({x}\right)+\mathrm{1}}{dxdy} \\ $$$$ \\ $$ Commented by abdomathmax last updated on…
Question Number 86611 by Ar Brandon last updated on 30/Mar/20 $$\int_{\mathrm{1}} ^{{e}} \frac{\mathrm{ln}\:\mathrm{x}}{\mathrm{x}+\mathrm{1}}\mathrm{dx} \\ $$ Answered by Ar Brandon last updated on 30/Mar/20 Terms of…
Question Number 152141 by Ar Brandon last updated on 26/Aug/21 $$\int_{\mathrm{0}} ^{+\infty} \frac{\left(\mathrm{sin}{x}\right)^{\mathrm{2}{n}+\mathrm{1}} }{{x}}{dx}=\frac{\pi}{\mathrm{2}^{\mathrm{2}{n}+\mathrm{1}} }\begin{pmatrix}{\mathrm{2}{n}}\\{{n}}\end{pmatrix} \\ $$ Answered by Olaf_Thorendsen last updated on 26/Aug/21 $$\mathrm{I}_{{n}}…
Question Number 152147 by john_santu last updated on 26/Aug/21 Answered by Ar Brandon last updated on 26/Aug/21 $${I}_{{n}} =\int_{−\mathrm{1}} ^{\mathrm{1}} \left(\sqrt{{x}^{\mathrm{2}} +\frac{\mathrm{1}}{{n}}}−\mid{x}\mid\right){dx} \\ $$$$\:\:\:\:=\mathrm{2}\int_{\mathrm{0}} ^{\mathrm{1}}…