Category: Integration

Question Number 25387 by mubeen897@hotmail.com last updated on 09/Dec/17 $$\int \frac{12x}{(2-x)(3-x)(4-x)}dx$$$$$$ Answered by A1B1C1D1 last updated on 09/Dec/17 $$\mathrm{Problem}:$$$$ \…

Question Number 25335 by mubeen897@hotmail.com last updated on 08/Dec/17 $$\int \frac{tan\left(x\right)}{(1+Cos\left(x\right))}dx=?$$$$Needhelp??$$$$$$ Answered by ajfour last updated on 08/Dec/17 $${I}=\int\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}\left(\mathrm{1}+\mathrm{cos}\:{x}\right)}{dx} \…

Question Number 90802 by john santu last updated on 26/Apr/20 $$1)\underset{\ln 2}{\stackrel{\mathrm{\infty }}{\int }}\frac{1}{\sqrt{{\mathrm{e}}^x-1}}dx$$$$2)\underset{\ln 2}{\stackrel{\mathrm{\infty }}{\int }}\frac{1}{e^x-1}dx$$ Commented by john santu…

Question Number 90784 by jagoll last updated on 26/Apr/20 $$\underset{0}{\stackrel{2}{\int }}\sqrt{\frac{4-x}{x}}-\sqrt{\frac{x}{4-x}}dx?$$ Commented by jagoll last updated on 26/Apr/20 $$\int_{\mathrm{0}} ^{\mathrm{2}} \:\frac{\left(\sqrt{\mathrm{4}−{x}}\right)^{\mathrm{2}} −\left(\sqrt{{x}}\right)^{\mathrm{2}}…

Question Number 156305 by cortano last updated on 10/Oct/21 $$\int \frac{\sec {}^2\left(\mathrm{x}\right)}{3\sin {}^2\left(\mathrm{x}\right)-1}\mathrm{dx}$$ Answered by puissant last updated on 10/Oct/21 $$\Omega=\int\frac{{sec}^{\mathrm{2}} {x}}{\mathrm{3}{sin}^{\mathrm{2}} {x}−\mathrm{1}}{dx}\:=\:\int\frac{{sec}^{\mathrm{4}} {x}}{\mathrm{3}{tan}^{\mathrm{2}}…