Category: Integration

Question Number 101793 by Dwaipayan Shikari last updated on 04/Jul/20 $${\int }_1^2\frac{logu}{\left(\sqrt{u-1}\right)(\sqrt{u-1}+1)}du$$ Answered by mathmax by abdo last updated on 05/Jul/20 $$\mathrm{I}\:=\int_{\mathrm{1}}…

Question Number 101783 by I want to learn more last updated on 04/Jul/20 $${\int }_0^1\frac{\ln ({\mathrm{x}}^2+1)}{\mathrm{x}+1}$$ Answered by mathmax by abdo last…

Question Number 167312 by cortano1 last updated on 12/Mar/22 $$\int \frac{\sin {}^3\mathrm{x}+1}{\sin {}^2\mathrm{x}-1}\mathrm{dx}=?$$ Commented by Florian last updated on 10/Apr/22 $$\:\:{Simplify}:\:\frac{{sin}^{\mathrm{3}} {x}+\mathrm{1}}{{sin}^{\mathrm{2}} −\mathrm{1}}=\frac{{sin}^{\mathrm{2}} \left({x}\right)−{sin}\left({x}\right)+\mathrm{1}}{{sin}\left({x}\right)−\mathrm{1}}…

Question Number 167310 by amin96 last updated on 12/Mar/22 $$\mathbf{NICE}\mathbf{CALCULUS}$$$${\int }_0^1\frac{\mathbf{ln}(1-\mathbf{x})\mathbf{ln}(1-\frac{\mathbf{x}}{2})}{\mathbf{x}}\mathbf{dx}=?$$$$$$$$$$ Terms of Service Privacy Policy…

Question Number 101747 by Dwaipayan Shikari last updated on 04/Jul/20 $$\int \frac{x^{\frac{-1}{2}}}{1+x^{\frac{1}{3}}}dx$$ Answered by bemath last updated on 04/Jul/20 $${set}\:{x}\:=\:{t}^{\mathrm{6}} \:\Rightarrow\mathrm{dx}\:=\:\mathrm{6t}^{\mathrm{5}} \:\mathrm{dt}\:…