Category: Integration

Question Number 110800 by Eric002 last updated on 30/Aug/20 $$\int \frac{sin\left(x\right)}{x^2+1}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 176334 by mnjuly1970 last updated on 16/Sep/22 $$$$$$\mathrm{\Psi }={\int }_0^1\frac{\ln (1+x-x^2)}{x}\mathrm{d}x=?$$$$$$ Answered by Peace last updated on…

Question Number 45235 by maxmathsup by imad last updated on 10/Oct/18 $$let\mid a\mid <1andf\left(a\right)={\int }_0^{1}ln\left(x\right)ln(1+ax)dx$$$$1)findaexplicitformoff\left(a\right)$$$$2)calculateg\left(a\right)={\int }_0^1\frac{xln\left(x\right)}{1+ax}dx$$$$\left.\mathrm{3}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({x}\right){ln}\left(\mathrm{2}+{x}\right){dx} \…

Question Number 45231 by maxmathsup by imad last updated on 10/Oct/18 $$find\int \sqrt{(x-1)(3-x)}dx$$ Commented by maxmathsup by imad last updated on 12/Oct/18 $${let}\:{A}\:=\int\:\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{3}−{x}\right)}{dx}\:\Rightarrow{A}\:=\int\sqrt{\mathrm{3}{x}−{x}^{\mathrm{2}} −\mathrm{3}+{x}}{dx}=\int\sqrt{−{x}^{\mathrm{2}}…

Question Number 176289 by infinityaction last updated on 15/Sep/22 $$\int \frac{\log (\cos x+\sqrt{\cos 2x})}{1-{\cos }^{2}x}dx$$ Commented by infinityaction last updated on 16/Sep/22 $$\int {\mathbf{cosec}}^2\mathit{x}\mathbf{log}[\mathbf{sin}\mathit{x}(\mathbf{cotx}+\sqrt{{\mathbf{cot}}^2\mathit{x}-1})\mathbf{dx}$$$$\underset{\Psi_{\mathrm{1}}…