Question Number 151 by 123456 last updated on 25/Jan/15 $$\mathrm{evaluate}\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{\mathrm{sin}\:{x}}{{x}}\mathrm{ln}\:{x}\:{dx} \\ $$ Answered by prakash jain last updated on 13/Dec/14 $$\mathrm{sin}\:{x}={x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}!}+\frac{{x}^{\mathrm{5}} }{\mathrm{5}!}−\frac{{x}^{\mathrm{7}}…
Question Number 65678 by mathmax by abdo last updated on 01/Aug/19 $${calculate}\:\:\int\:\:\:\:\frac{\mathrm{3}{x}+\mathrm{1}}{\left({x}^{\mathrm{2}} −\mathrm{4}\right)\left({x}^{\mathrm{3}} +\mathrm{2}{x}−\mathrm{3}\right)}{dx} \\ $$ Commented by mathmax by abdo last updated on 03/Aug/19…
Question Number 65681 by aliesam last updated on 01/Aug/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \left(\underset{{r}=\mathrm{1}} {\overset{{n}} {\prod}}\left({x}+{r}\right)\right)\left(\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\frac{\mathrm{1}}{{x}+{k}}\right)\:{dx} \\ $$ Answered by Tanmay chaudhury last updated on…
Question Number 65679 by mathmax by abdo last updated on 01/Aug/19 $${let}\:\:{A}_{{n}} =\int_{−\infty} ^{+\infty} \:\:\:\frac{{cos}\left(\mathrm{2}^{{n}} {x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right){find}\:{nsture}\:{of}\:{the}\:{serie}\:\Sigma{A}_{{n}} \:\:\:\:{and}\:\Sigma{n}^{{n}} \:{A}_{{n}}…
Question Number 141 by shahid.ansari56@yahoo.com last updated on 25/Jan/15 $$\mathrm{56546557}\boldsymbol{\div}{vb}\mathrm{65} \\ $$$$ \\ $$ Answered by 123456 last updated on 14/Dec/14 $$\frac{\mathrm{56546557}}{\mathrm{65}{vb}},{vb}\neq\mathrm{0} \\ $$ Terms…
Question Number 65676 by mathmax by abdo last updated on 01/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{x}^{\mathrm{2}} −\frac{\mathrm{1}}{{x}^{\mathrm{2}} }} {dx} \\ $$ Commented by ~ À ® @…
Question Number 131211 by mnjuly1970 last updated on 02/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:…{calculus}… \\ $$$$\:{prove}\:{that}:: \\ $$$$\:\boldsymbol{\Phi}=\int_{\mathrm{0}} ^{\:\frac{\boldsymbol{\pi}}{\mathrm{4}}} \left(\frac{\sqrt{\boldsymbol{{tan}}\left(\boldsymbol{{x}}\right)+\boldsymbol{{tan}}^{\mathrm{2}} \left(\boldsymbol{{x}}\right)}}{\:\sqrt{\boldsymbol{{tan}}\left(\boldsymbol{{x}}\right)−\boldsymbol{{tan}}^{\mathrm{2}} \left(\boldsymbol{{x}}\right)}}\:\boldsymbol{{sin}}\left(\boldsymbol{{x}}\right)\right)\boldsymbol{{dx}}\: \\ $$$$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\boldsymbol{\pi}}}{\mathrm{8}}\:\left(\frac{\boldsymbol{\Gamma}\left(\frac{\mathrm{1}}{\mathrm{4}}\right)}{\boldsymbol{\Gamma}\left(\frac{\mathrm{3}}{\mathrm{4}}\right)}−\frac{\boldsymbol{\Gamma}\left(\frac{\mathrm{3}}{\mathrm{4}}\right)}{\boldsymbol{\Gamma}\left(\frac{\mathrm{5}}{\mathrm{4}}\right)}\right) \\ $$ Answered by Ar…
Question Number 65675 by mathmax by abdo last updated on 01/Aug/19 $$\left.\mathrm{1}\right)\:{find}\:\int\:\frac{{dx}}{\:\sqrt{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}−\mathrm{2}\right)}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 133 by sagarwal last updated on 25/Jan/15 $$\mathrm{Evaluate}\:\int\sqrt{\mathrm{sin}\:{x}}{dx} \\ $$ Answered by gkfichadia last updated on 10/Dec/14 $$ \\ $$$$ \\ $$$$ \\…
Question Number 65665 by mathmax by abdo last updated on 01/Aug/19 $${calculate}\:\int_{−\mathrm{2}} ^{+\infty} \:\:\frac{{e}^{−{x}} }{\:\sqrt{{x}+\mathrm{2}}}\:{dx} \\ $$$$ \\ $$ Commented by mathmax by abdo last…