Category: Integration

Question Number 153759 by mnjuly1970 last updated on 10/Sep/21 $$$$$$\mathrm{\Omega }=\underset{n=1}{\sum ^{\mathrm{\infty }}}\left\{n^2{\left({\int }_0^{\frac{\pi }{2}}\frac{{sin}^2\left(x\right)}{{(sin\left(x\right)+cos\left(x\right))}^4}\right)}^{n}dx\right\}=?$$$$$$ Terms…

Question Number 88206 by jagoll last updated on 09/Apr/20 $$\int \frac{\mathrm{x}+{\mathrm{x}}^3}{1+{\mathrm{x}}^4}\mathrm{dx}$$ Answered by john santu last updated on 09/Apr/20 $$=\:\int\:\frac{{x}}{\mathrm{1}+{x}^{\mathrm{4}} }\:{dx}\:+\:\int\:\frac{{x}^{\mathrm{3}} }{\mathrm{1}+{x}^{\mathrm{4}}…

Question Number 88194 by M±th+et£s last updated on 08/Apr/20 $$find\int \frac{1}{\sqrt{x}+\sqrt{x+1}+\sqrt{x+2}}dx$$$$$$ Commented by TANMAY PANACEA. last updated on 08/Apr/20 $$excellentproblem\dots thinking$$…

Question Number 153734 by mnjuly1970 last updated on 09/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 88181 by ubaydulla last updated on 08/Apr/20 Commented by mathmax by abdo last updated on 09/Apr/20 $$5)y^{{}^{\prime }}+y=e^{2x}\left(he\right)\to y^{{}^{\prime }}+y=0\Rightarrow \frac{y^{{}^{\prime }}}{y}=-1\Rightarrow ln\mid y\mid =-x+c\Rightarrow$$$${y}\:={k}\:{e}^{−{x}}…