Category: Integration

Question Number 29311 by Karnik kaushal last updated on 07/Feb/18 $$\int {(2x^3-3x^2+3x-1)}^{\frac{1}{5}}dxandlimitisfrom0to1$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 160358 by Ar Brandon last updated on 28/Nov/21 $${\int }_0^{\frac{\pi }{2}}\ln \left(\sin x\right)\ln \left(\cos x\right)dx$$ Answered by amin96 last updated on 28/Nov/21 $$\boldsymbol{\mathrm{sin}}\left(\boldsymbol{\mathrm{x}}\right)=\boldsymbol{\mathrm{t}}\:\:\:\frac{\boldsymbol{\mathrm{dt}}}{\boldsymbol{\mathrm{dx}}}=\boldsymbol{\mathrm{cos}}\left(\boldsymbol{\mathrm{x}}\right)=\sqrt{\mathrm{1}−\boldsymbol{\mathrm{t}}^{\mathrm{2}} } \…

Question Number 160328 by cortano last updated on 27/Nov/21 $${\int }_1^{2\mathrm{e}}\sqrt{\frac{{\mathrm{x}}^2+1}{\ln \mathrm{x}}\sqrt{\ln {\mathrm{x}}^2}}\mathrm{dx}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 160291 by cortano last updated on 27/Nov/21 $$\mathrm{\Omega }=\int \frac{{\mathrm{x}}^2-3\mathrm{x}+7}{{({\mathrm{x}}^2-4\mathrm{x}+6)}^2}\mathrm{dx}=?$$ Answered by 2970604Lu last updated on 27/Nov/21 $$$$$$…

Question Number 160276 by amin96 last updated on 27/Nov/21 $${\int }_0^1\frac{\mathbf{ln}(1-\mathbf{x})\mathbf{ln}\left(\mathbf{x}\right)}{1-\mathbf{x}}\mathbf{dx}=?$$ Answered by mnjuly1970 last updated on 27/Nov/21 $$\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:{ln}\left({x}\right).{ln}\left(\mathrm{1}−{x}\right)}{{x}}{dx}=\:\left[−{li}_{\mathrm{2}} \left({x}\right).{ln}\left({x}\right)\right]_{\mathrm{0}}…