Category: Integration

Question Number 6938 by Tawakalitu. last updated on 03/Aug/16 $$Integrate:\frac{x{tan}^{-1}\left(x\right)}{{(1+x^2)}^2}dx$$ Commented by Yozzii last updated on 03/Aug/16 $${I}=\int\frac{{xtan}^{−\mathrm{1}} {x}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}}…

Question Number 137991 by EnterUsername last updated on 08/Apr/21 $${\int }_0^{\frac{\pi }{2}}{ln}^3\left(sinx\right)dx$$ Answered by Ar Brandon last updated on 08/Apr/21 $$\mathrm{f}\left(\alpha\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…

Question Number 137973 by mnjuly1970 last updated on 08/Apr/21 $$$$$$\dots \dots .Advanced\dots \dots \dots \dots Calculus\dots \dots .$$$$provethat:::$$$$\mathit{\varphi }={\int }_0^1\frac{ln(1-x)}{1+x^2}dx=\frac{\pi }{8}ln\left(2\right)-G\dots ✓$$$$whereGiscatalannumber\dots$$$$$$…

Question Number 137971 by EnterUsername last updated on 08/Apr/21 $$\mathrm{Solve}\mathrm{the}\mathrm{equation}:$$$${\int }_0^{\mathrm{x}}(\mathrm{x}-\mathrm{t}){\mathrm{t}}^2\sqrt[3]{\mathrm{y}\left(\mathrm{t}\right)}\mathrm{dt}+\frac{1}{2}{\int }_0^{\mathrm{x}}(5\mathrm{x}-6\mathrm{t})\mathrm{y}\left(\mathrm{t}\right)\mathrm{dt}+2\mathrm{x}=0$$ Terms of Service Privacy Policy Contact:…

Question Number 137940 by benjo_mathlover last updated on 08/Apr/21 $${\int }_1^e\sqrt{1+\frac{1}{x^2}+\frac{1}{{(x+1)}^2}}dx=?$$ Answered by john_santu last updated on 08/Apr/21 $$\mathcal{J}\:=\:\int_{\mathrm{1}} ^{\:{e}}…