Category: Integration

Question Number 71197 by aliesam last updated on 12/Oct/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 71175 by 20190927 last updated on 12/Oct/19 $$\int \frac{1}{{\mathrm{x}}^2+2016\mathrm{x}}\mathrm{dx}$$ Commented by Prithwish sen last updated on 12/Oct/19 $$\int\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1008}\right)^{\mathrm{2}} −\left(\mathrm{1008}\right)^{\mathrm{2}} }\:\:\:\:\:\:\boldsymbol{\mathrm{put}}\:\boldsymbol{\mathrm{x}}+\mathrm{1008}\:=\:\boldsymbol{\mathrm{t}} \…

Question Number 136680 by aupo14 last updated on 24/Mar/21 Answered by Olaf last updated on 24/Mar/21 $$\mathrm{F}\left(x\right)=\int \frac{dx}{{(x^2+9)}^2}$$$$\mathrm{Let}x=3\mathrm{sh}u$$$$\mathrm{F}\left({u}\right)\:=\:\int\frac{\mathrm{3ch}{u}}{\left(\mathrm{9sh}^{\mathrm{2}} +\mathrm{9}\right)^{\mathrm{2}} }\:{du}…

Question Number 136651 by mhabs last updated on 24/Mar/21 Answered by Ñï= last updated on 24/Mar/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{\mathrm{1}}{\mathrm{1}+\left({a}\mathrm{tan}\:{x}\right)^{\mathrm{2}} }{dx}\overset{{t}=\mathrm{tan}\:{x}} {=}\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\mathrm{1}+{a}^{\mathrm{2}} {t}^{\mathrm{2}} }\centerdot\frac{\mathrm{1}}{\mathrm{1}+{t}^{\mathrm{2}}…

Question Number 136626 by mnjuly1970 last updated on 24/Mar/21 $$\dots \dots \dots .nicecalculus\dots \dots \dots$$$$supposethat:::$$$$\phi \left(p\right)={\int }_0^{\mathrm{\infty }}\frac{ln(1+x)}{{(p+x)}^2}\dots ✓$$$$findthevalueof::$$$${\underset{0}{\int }}^1\frac{\phi \left(p\right)}{1+p}dp=?\dots$$$$\:\:\:\:\:\:…