Category: Integration

Question Number 128529 by bramlexs22 last updated on 08/Jan/21 Commented by liberty last updated on 08/Jan/21 $$\mathrm{considering}\frac{\mathrm{d}}{\mathrm{dx}}\left(\frac{\mathrm{u}}{\mathrm{v}}\right)=\frac{{\mathrm{u}}^{\prime }\mathrm{v}-{\mathrm{uv}}^{\prime }}{{\mathrm{v}}^2}$$$$\mathrm{obvious}\mathrm{v}=2+3\cos \mathrm{x}\mathrm{and}3+2\cos \mathrm{x}={\mathrm{u}}^{\prime }(2+3\cos \mathrm{x})-\mathrm{u}(-3\sin \mathrm{x})$$$$\Rightarrow 2\cos \mathrm{x}+3={2\mathrm{u}}^{\prime }+{3\mathrm{u}}^{\prime }\cos \mathrm{x}+3\mathrm{u}\sin \mathrm{x}$$$$\mathrm{check}\:\mathrm{u}\:=\:\mathrm{sin}\:\mathrm{x}\:\Rightarrow\:\mathrm{u}'\left(\mathrm{2}+\mathrm{3cosx}\right)+\mathrm{3u}\:\mathrm{sin}\:\mathrm{x}=\: \…

Question Number 128511 by benjo_mathlover last updated on 08/Jan/21 $$\mathcal{H}=\int \frac{{2017\mathrm{x}}^{2016}+{2018\mathrm{x}}^{2017}}{1+{\mathrm{x}}^{4034}+{2\mathrm{x}}^{4035}+{\mathrm{x}}^{4036}}\mathrm{dx}$$ Answered by liberty last updated on 08/Jan/21 $$\mathcal{H}=\int\:\frac{\mathrm{2017x}^{\mathrm{2016}}…

Question Number 128495 by mathmax by abdo last updated on 07/Jan/21 $$\mathrm{find}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{sinx}}{\left[\mathrm{x}\right]}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 62930 by mathmax by abdo last updated on 27/Jun/19 $$findthevalue{\int }_0^1{x}^{\sqrt{x}}dx\left(studyfirsttheconvergence\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 62912 by Hope last updated on 26/Jun/19 Answered by Hope last updated on 27/Jun/19 Terms of Service Privacy Policy Contact: info@tinkutara.com