Category: Integration

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}}…

Question Number 88170 by Ar Brandon last updated on 08/Apr/20 $$Provethat$$$${\int }_0^{1}tcosn\pi tdt=\frac{{(-1)}^n-1}{n^2{\pi }^2}$$ Commented by jagoll last updated…

Question Number 22623 by tawa tawa last updated on 21/Oct/17 $$\mathrm{How}\mathrm{is}:\int \frac{\mathrm{x}+\sin \left(\mathrm{x}\right)}{1+\cos \left(\mathrm{x}\right)}\mathrm{dx}=\mathrm{xtan}\left(\frac{\mathrm{x}}{2}\right)+\mathrm{C}$$ Answered by vajpaithegrate@gmail.com last updated on 21/Oct/17 $$\int \frac{\mathrm{x}+2\sin \frac{\mathrm{x}}{2}\cos \frac{\mathrm{x}}{2}}{2\cos {}^2\frac{\mathrm{x}}{2}}\mathrm{dx}$$$$\int\frac{\mathrm{x}}{\mathrm{2cos}^{\mathrm{2}} \frac{\mathrm{x}}{\mathrm{2}}}+\frac{\mathrm{2sin}\:\frac{\mathrm{x}}{\mathrm{2}}\mathrm{cos}\:\frac{\mathrm{x}}{\mathrm{2}}}{\mathrm{2cos}\:^{\mathrm{2}}…