Category: Integration

Question Number 205294 by depressiveshrek last updated on 15/Mar/24 $$\int \sqrt[3]{3x-x^3}dx$$ Answered by Frix last updated on 15/Mar/24 $$\int\left(\mathrm{3}{x}−{x}^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} {dx}\:\overset{{t}=\frac{{x}^{\mathrm{2}} }{\mathrm{3}}} {=}\:\frac{\mathrm{3}}{\mathrm{2}}\int{t}^{−\frac{\mathrm{1}}{\mathrm{3}}}…

Question Number 205315 by cherokeesay last updated on 15/Mar/24 Answered by MM42 last updated on 16/Mar/24 $$\left[x\right]+[x-\frac{1}{2}]=\left[2x\right]-1$$$$\Rightarrow {\int }_0^{\left[x\right]}(\left[2x\right]-1)dx=(\left[2x\right]-1)x{\mid }_0^{\left[x\right]}$$$$=\left(\left[\mathrm{2}{x}\right]−\mathrm{1}\right)\left[{x}\right] \…

Question Number 205284 by universe last updated on 14/Mar/24 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 205245 by pticantor last updated on 13/Mar/24 $$\mathit{c}\mathit{a}\mathit{l}\mathit{c}\mathit{u}\mathit{l}\mathit{a}\mathit{t}\mathit{e}$$$$$$$$\int \frac{3\mathit{x}\mathit{d}\mathit{x}}{\sqrt{1-{\mathit{x}}^4}}$$$$\mathit{p}\mathit{l}\mathit{s}\mathit{s}\mathit{s}\mathit{s}\mathit{s}\mathit{s}\mathit{s}$$ Answered by mr W last updated…

Question Number 205248 by universe last updated on 13/Mar/24 $${\int }_0^{\pi }\frac{x^2{\cos }^2\left(x\right)-x\sin \left(x\right)-\cos \left(x\right)-1}{{(1+x\sin \left(x\right))}^2}dx$$ Answered by Berbere last updated on 13/Mar/24 $$\left(\frac{{f}\left({x}\right)}{\mathrm{1}+{xsin}\left({x}\right)}+{g}\left({x}\right)\right)^{'}…