Category: Integration

Question Number 206537 by necx122 last updated on 18/Apr/24 $$\int \frac{x^4-1}{x^2\sqrt{x^4+x^2+1}}dx$$ Answered by Berbere last updated on 18/Apr/24 $$=\int\frac{{x}\left(\mathrm{4}{x}^{\mathrm{3}} +\mathrm{2}{x}\right)−\mathrm{2}{x}^{\mathrm{4}}…

Question Number 206490 by Simurdiera last updated on 16/Apr/24 $$Resuelvelasiguienteintegral$$$$\int \frac{\cos \left(t\right)}{\sqrt[4]{{\sin }^7\left(t\right)\cdot {\cos }^5\left(t\right)}}dt$$ Answered by Frix last updated on 16/Apr/24 $${t}=\mathrm{tan}\:{x} \…

Question Number 206248 by MetaLahor1999 last updated on 10/Apr/24 $$\int \frac{1}{\sqrt{(1-t)(2-t)}}dt=\dots ?$$ Answered by TonyCWX08 last updated on 10/Apr/24 $$\int \frac{1}{\sqrt{t^2-3t+2}}dt$$$$=\int\frac{\mathrm{1}}{\:\sqrt{\left({t}−\frac{\mathrm{3}}{\mathrm{2}}\right)^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{4}}}}{dt} \…

Question Number 206224 by mathzup last updated on 09/Apr/24 $$find{\int }_0^{1}arctan\left(x^5\right)dx$$ Answered by Frix last updated on 10/Apr/24 $$\int\mathrm{tan}^{−\mathrm{1}} \:{x}^{{n}} \:{dx}\:\underset{{u}'=\mathrm{1}\wedge{v}=\mathrm{tan}^{−\mathrm{1}}…

Question Number 206072 by MetaLahor1999 last updated on 06/Apr/24 $${\int }_0^{\pi }arctan\left(\frac{ln\left(sin\left(x\right)\right)}{x}\right)dx=\dots ?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com