Category: Integration

Question Number 120395 by bramlexs22 last updated on 31/Oct/20 Answered by Olaf last updated on 31/Oct/20 $$$$$$u=9x^2,du=18xdx=6u^{1/2}dx$$$$\mathrm{I}\:=\:\int_{\mathrm{2}} ^{\mathrm{4}} \frac{\mathrm{1}}{\left(\frac{{u}}{\mathrm{3}}\right)^{\mathrm{5}/\mathrm{2}}…

Question Number 120374 by bramlexs22 last updated on 31/Oct/20 $$\int \frac{\sqrt{1+x^2}}{x}dx$$ Answered by Lordose last updated on 31/Oct/20 $$\mathrm{I}=\int \frac{1}{\mathrm{x}\sqrt{1+{\mathrm{x}}^2}}\mathrm{dx}+\int \frac{\mathrm{x}}{\sqrt{1+{\mathrm{x}}^2}}\mathrm{dx}$$$$\mathrm{I}\:=\:−\mathrm{coth}^{−\mathrm{1}}…

Question Number 185880 by cortano1 last updated on 29/Jan/23 $$\underset{0}{\stackrel{\pi /2}{\int }}\frac{\sqrt[3]{\tan x}}{{(\sin x+\cos x)}^2}dx=?$$ Commented by MJS_new last updated on 29/Jan/23 $$\mathrm{simply}\mathrm{use}t=\sqrt[3]{\tan x}$$…

Question Number 185873 by test1234 last updated on 29/Jan/23 $$\left(1\right)\int \pi x^2+\sqrt{\frac{{xe}^{\pi }}{x^2}}dx=?$$$$\left(2\right)\int \frac{\ln \left(x\right)+\ln \left(\frac{-z}{x}\right)}{x^z}+z^{x}dx=?$$ Answered by JDamian last updated on…

Question Number 185863 by normans last updated on 29/Jan/23 Commented by MJS_new last updated on 02/Feb/23 $$\mathrm{do}\mathrm{you}\mathrm{gain}\mathrm{satisfaction}\mathrm{by}\mathrm{posting}$$$$\mathrm{complicated}\mathrm{nonsense}?$$ Answered by MJS_new last…