Category: Integration

Question Number 63261 by aliesam last updated on 01/Jul/19 $$\int xtan\left(x\right)dx$$ Commented by kaivan.ahmadi last updated on 01/Jul/19 $$u=tanx\Rightarrow du=\frac{dx}{1+x^2}$$$${dv}={xdx}\Rightarrow{v}=\frac{{x}^{\mathrm{2}} }{\mathrm{2}} \…

Question Number 128775 by bramlexs22 last updated on 10/Jan/21 $$\int \frac{\mathrm{dx}}{{(1-\mathrm{x})}^2\sqrt{1-{\mathrm{x}}^2}}?$$ Answered by liberty last updated on 10/Jan/21 $$\:\mathrm{let}\:\varphi\:=\:\sqrt{\frac{\mathrm{1}+\mathrm{x}}{\mathrm{1}−\mathrm{x}}}\:\Rightarrow\mathrm{x}\:=\:\frac{\varphi^{\mathrm{2}} −\mathrm{1}}{\varphi^{\mathrm{2}} +\mathrm{1}}\:\mathrm{and}\:\mathrm{dx}\:=\:\frac{\mathrm{4}\varphi}{\left(\varphi^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}}…

Question Number 128750 by bemath last updated on 10/Jan/21 $$\mathrm{Given}\mathrm{a}\mathrm{function}\mathrm{f}\mathrm{satisfy}\mathrm{f}(-\mathrm{x})=3\mathrm{f}\left(\mathrm{x}\right).$$$$\mathrm{If}{\int }_{-1}^2\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=2\mathrm{then}{\int }_{-2}^1\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=?$$ Commented by mr W last updated on…

Question Number 128736 by mnjuly1970 last updated on 09/Jan/21 $$\dots nicecalculus\dots$$$$$$$$evluate::$$$$\varphi ={\int }_0^{\mathrm{\infty }}{e}^{-x^2}cos\left(x\right)dx=?$$$$$$ Commented…

Question Number 128710 by rs4089 last updated on 09/Jan/21 $$\int e^x\left(\frac{1+sinx+cosx}{{cos}^{2}x}\right)dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com