Question Number 122157 by mathmax by abdo last updated on 14/Nov/20 $$\mathrm{find}\:\int_{−\mathrm{1}} ^{\mathrm{1}} \sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{4}} }\mathrm{dx} \\ $$ Commented by peter frank last updated on 14/Nov/20…
Question Number 122137 by sdfg last updated on 14/Nov/20 Answered by Bird last updated on 14/Nov/20 $$\Gamma\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:{t}^{{x}−\mathrm{1}} \:{e}^{−{t}} {dt} \\ $$$$\int_{−\infty} ^{+\infty} \:{e}^{{xt}−{e}^{{t}}…
Question Number 122120 by sina1377 last updated on 14/Nov/20 $$\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\frac{\mathrm{1}}{\:\sqrt{{y}}}.{e}^{{y}} {dy} \\ $$ Answered by Bird last updated on 14/Nov/20 $${I}\:=\int_{\mathrm{0}} ^{\mathrm{3}} \:\frac{{e}^{{y}}…
Question Number 122108 by bemath last updated on 14/Nov/20 $$\:\:\:\underset{\mathrm{1}} {\overset{\mathrm{2}} {\int}}\:\frac{\mathrm{ln}\:\left({x}\right)}{{x}^{\mathrm{2}} }\:{dx}\:? \\ $$ Answered by Dwaipayan Shikari last updated on 14/Nov/20 $$−\left[{log}\left({x}\right)\frac{\mathrm{1}}{{x}}\right]_{\mathrm{1}} ^{\mathrm{2}}…
Question Number 122109 by sdfg last updated on 14/Nov/20 Answered by Dwaipayan Shikari last updated on 14/Nov/20 $$\Gamma\left({x}\right)=\int_{\mathrm{0}} ^{\infty} {t}^{{x}−\mathrm{1}} {e}^{−{t}} {dt} \\ $$$$\Gamma\left({x}\right)=\int_{\mathrm{1}} ^{\infty}…
Question Number 122098 by Rohit412 last updated on 14/Nov/20 Commented by liberty last updated on 14/Nov/20 $$\int\:\frac{\mathrm{dx}}{\:\sqrt{\left(\mathrm{2ax}+\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{3}} }}\:=\:\int\:\frac{\mathrm{dx}}{\left(\sqrt{\mathrm{2ax}+\mathrm{x}^{\mathrm{2}} }\right)^{\mathrm{3}} } \\ $$$$\int\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{3}} \:\left(\sqrt{\mathrm{2ax}^{−\mathrm{1}} +\mathrm{1}}\right)^{\mathrm{3}}…
Question Number 187602 by horsebrand11 last updated on 19/Feb/23 $$\:\:\:\underset{\mathrm{1}/\mathrm{4}} {\overset{\mathrm{1}/\mathrm{2}} {\int}}\:\frac{\mathrm{sin}^{−\mathrm{1}} \left(\sqrt{{x}}\right)−\mathrm{cos}^{−\mathrm{1}} \left(\sqrt{{x}}\right)}{\mathrm{sin}^{−\mathrm{1}} \left(\sqrt{{x}}\right)+\mathrm{cos}^{−\mathrm{1}} \left(\sqrt{{x}}\right)}\:{dx}=? \\ $$ Answered by integralmagic last updated on 19/Feb/23…
Question Number 56523 by arvinddayama02@gmail.com last updated on 18/Mar/19 $$\int{x}\sqrt{\mathrm{3}{x}^{\mathrm{3}} +\mathrm{2}}\:{dx}=? \\ $$ Commented by MJS last updated on 18/Mar/19 $$\mathrm{it}\:\mathrm{seems}\:\mathrm{impossible}\:\mathrm{to}\:\mathrm{solve} \\ $$ Commented by…
Question Number 122044 by rs4089 last updated on 13/Nov/20 Commented by JDamian last updated on 13/Nov/20 $$\mathrm{What}\:\mathrm{is}\:\:{C}_{{r}} ? \\ $$ Commented by rs4089 last updated…
Question Number 122035 by mnjuly1970 last updated on 13/Nov/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:{calculus}… \\ $$$$\:\:\:\:\:\:\:\:{prove}\:\:{that}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}^{\mathrm{2}} \left(\mathrm{1}+{x}\right)}{{x}}{dx}\overset{??} {=}\frac{\zeta\left(\mathrm{3}\right)}{\mathrm{4}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:.{m}.{n}. \\ $$ Answered by mindispower…