Question Number 148854 by DomaPeti last updated on 31/Jul/21 $$\int\sqrt{\frac{{A}\centerdot{B}\centerdot\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }}{\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){B}^{\mathrm{2}} +{C}}}{dx}=\:\:? \\ $$$${A},{B},{C}={const}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 148816 by ArielVyny last updated on 31/Jul/21 $$\int_{\mathrm{0}} ^{\infty} {x}^{{m}} {e}^{{ix}^{{n}} } {dx}=?? \\ $$ Answered by mathmax by abdo last updated on…
Question Number 148815 by mathmax by abdo last updated on 31/Jul/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{x}^{\mathrm{n}} }{\left(\mathrm{x}^{\mathrm{2n}} +\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx}\:\:\:\:\:\left(\mathrm{n}\geqslant\mathrm{2}\:\:\mathrm{integr}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 148809 by jlewis last updated on 31/Jul/21 $$\underset{\mathrm{i}=\mathrm{0}} {\overset{\infty} {\sum}}\left[\left(−\mathrm{0}.\mathrm{5x}^{\mathrm{2}} \right)\mathrm{i}/\mathrm{i}!\right]\:\mathrm{integrate} \\ $$ Answered by qaz last updated on 31/Jul/21 $$\underset{\mathrm{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}^{\mathrm{2}}…
Question Number 83276 by 09658867628 last updated on 29/Feb/20 $$\int\mathrm{s}{ec}^{\mathrm{5}} \mathrm{3}{x}\bullet\mathrm{s}{ec}\mathrm{3}{x}\mathrm{tan}\:\mathrm{3}{xdx} \\ $$ Answered by TANMAY PANACEA last updated on 29/Feb/20 $${t}={sec}\mathrm{3}{x}\rightarrow{dt}=\mathrm{3}{sec}\mathrm{3}{x}.{tan}\mathrm{3}{x}\:{dx} \\ $$$$\int{t}^{\mathrm{5}} ×\frac{{dt}}{\mathrm{3}}=\frac{{t}^{\mathrm{6}}…
Question Number 17736 by uchechukwu okorie favour last updated on 09/Jul/17 $${evaluate};\:\int\mathrm{ln}\:\left(\mathrm{sin}\:\mathrm{2}{x}\right){dx} \\ $$ Commented by Tinkutara last updated on 14/Jul/17 $$\mathrm{This}\:\mathrm{integral}\:\mathrm{is}\:\mathrm{not}\:\mathrm{defined}. \\ $$ Terms…
Question Number 83259 by 09658867628 last updated on 29/Feb/20 $$\int{x}^{\mathrm{9}} \mathrm{sin}\:{x}^{\mathrm{10}} {dx} \\ $$ Answered by TANMAY PANACEA last updated on 29/Feb/20 $${t}={x}^{\mathrm{10}} \rightarrow\frac{{dt}}{{dx}}=\mathrm{10}{x}^{\mathrm{9}} \\…
Question Number 83252 by mathmax by abdo last updated on 29/Feb/20 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{dx}}{{cos}^{\mathrm{2}} {x}\:+\sqrt{\mathrm{3}}{sin}^{\mathrm{2}} {x}} \\ $$ Commented by mathmax by abdo last updated…
Question Number 83253 by mathmax by abdo last updated on 29/Feb/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{dx}}{\left({x}^{\mathrm{4}} −{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by abdomathmax last updated on…
Question Number 83250 by mathmax by abdo last updated on 29/Feb/20 $$\left.\mathrm{1}\right){decompose}\:{F}\left({x}\right)=\frac{{x}^{\mathrm{2}} −\mathrm{3}}{\mathrm{2}{x}^{\mathrm{3}} \:+\mathrm{5}{x}+\mathrm{7}} \\ $$$$\left.\mathrm{2}\right){determine}\:\int\:{F}\left({x}\right){dx} \\ $$ Answered by MJS last updated on 29/Feb/20…