Question Number 65919 by mathmax by abdo last updated on 05/Aug/19 $${find}\:\:\int\:\:\frac{{dx}}{{x}\sqrt{{x}+\mathrm{1}}\:+\left({x}+\mathrm{1}\right)\sqrt{{x}}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{1}} ^{\sqrt{\mathrm{3}}} \:\:\:\frac{{dx}}{{x}\sqrt{{x}+\mathrm{1}}\:+\left({x}+\mathrm{1}\right)\sqrt{{x}}} \\ $$ Commented by mathmax by abdo last updated…
Question Number 65878 by ~ À ® @ 237 ~ last updated on 05/Aug/19 $$\:\:{Calculate}\:\:\:{lim}_{{a}−>\infty} \:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\mathrm{1}+{x}^{{a}} }\: \\ $$ Commented by mathmax by…
Question Number 336 by Vishal Bhardwaj last updated on 25/Jan/15 $$\int\:\frac{\mathrm{1}}{{sin}^{\mathrm{4}} {x}+{cos}^{\mathrm{4}} {x}+{sin}^{\mathrm{2}} {x}\:{cos}^{\mathrm{2}} {x}}\:\:{dx} \\ $$ Commented by 123456 last updated on 22/Dec/14 $${f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{sin}^{\mathrm{4}}…
Question Number 338 by Vishal Bhardwaj last updated on 25/Jan/15 $$\int\sqrt{{tanx}}\:{dx} \\ $$ Answered by prakash jain last updated on 22/Dec/14 $$\mathrm{Please}\:\mathrm{see}\:\mathrm{answer}\:\mathrm{to}\:\mathrm{Q119}.\: \\ $$ Terms…
Question Number 335 by Vishal Bhardwaj last updated on 22/Dec/14 $$\int\:\frac{\sqrt{\left({x}^{\mathrm{2}} +\mathrm{1}\right)}\left[{ln}\left({x}^{\mathrm{2}} +\mathrm{1}\right)−\mathrm{2}{lnx}\right]}{{x}^{\mathrm{4}} }\:{dx} \\ $$ Commented by 123456 last updated on 22/Dec/14 $$\frac{\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}{{x}^{\mathrm{4}}…
Question Number 131405 by bramlexs22 last updated on 04/Feb/21 $$ \\ $$$$\:\:\ldots\ldots\:\:\mathrm{super}\:\mathrm{cooles}\:\mathrm{Integral}\:\iddots\iddots \\ $$$$\:\int_{\mathrm{0}} ^{\:\infty} \frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:=? \\ $$ Commented by bramlexs22 last updated…
Question Number 131401 by mnjuly1970 last updated on 04/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:{calculus}… \\ $$$$\:\:\:{prove}\:\:{that}::: \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \left(\mathscr{A}{rcsin}\left({x}\right)\right).\left(\mathscr{A}{rccos}\left({x}\right)\right){dx}\overset{??} {=}\mathrm{2}−\frac{\pi}{\mathrm{2}} \\ $$$$ \\ $$ Answered by mathmax by…
Question Number 325 by 123456 last updated on 25/Jan/15 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}{x}^{\mathrm{3}} \mathrm{ln}\:{x}\:{dx}+\underset{\mathrm{1}} {\overset{\infty} {\int}}{x}^{\mathrm{3}} {e}^{{x}−\mathrm{1}} {dx} \\ $$ Answered by prakash jain last updated…
Question Number 310 by 123456 last updated on 25/Jan/15 $$\underset{\mathrm{1}} {\overset{{e}} {\int}}{xe}^{{t}} −\frac{\mathrm{ln}\:{x}}{{x}}{dx} \\ $$ Answered by prakash jain last updated on 20/Dec/14 $$\int{xe}^{{t}} {dx}−\int\frac{\mathrm{ln}\:{x}}{{x}}{dx}…
Question Number 313 by Vishal Bhardwaj last updated on 25/Jan/15 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {log}\:{sin}\theta\:{d}\theta \\ $$ Answered by prakash jain last updated on 20/Dec/14 $${I}=\int_{\mathrm{0}} ^{\pi/\mathrm{2}}…