Category: Integration

Question Number 195910 by Calculusboy last updated on 13/Aug/23 Answered by witcher3 last updated on 20/Aug/23 $$\mathrm{Methode}\mathrm{of}\mathrm{differentiation}?$$$$\mathrm{A}=\ln \left(2\right){\int }_0^1\frac{{\mathrm{x}}^2-1}{\ln \left(\mathrm{x}\right)}\mathrm{dx}$$$$\mathrm{A}\left(\mathrm{a}\right)=\mathrm{ln}\left(\mathrm{2}\right)\int_{\mathrm{0}} ^{\mathrm{1}}…

Question Number 195803 by ajfour last updated on 10/Aug/23 $$\int \frac{\sqrt{x}dx}{\sqrt{-1+\sqrt{2-{(x+1)}^2}}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 195416 by Calculusboy last updated on 02/Aug/23 Answered by MrGHK last updated on 06/Aug/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 195126 by Erico last updated on 25/Jul/23 $$\mathrm{Soit}{f}_n\left(x\right)=2^{n+1}\left[\frac{\frac{1}{2^n}cotan\left(\frac{x}{2^n}\right)-cotanx}{sin\left(\frac{x}{2^n}\right)}\right]$$$$\text{Double subscripts: use braces to clarify}$$ Answered…

Question Number 194975 by youssef last updated on 21/Jul/23 $$\int \frac{1}{{\mathit{x}}^5+1}\mathit{d}\mathit{x}$$ Commented by Frix last updated on 21/Jul/23 $$\mathrm{You}\mathrm{have}\mathrm{to}\mathrm{decompose}$$$${x}^{\mathrm{5}} +\mathrm{1}=\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}}…