Category: Integration

Question Number 46849 by maxmathsup by imad last updated on 01/Nov/18 $$let{A}_p=\sum _{n=1}^{\mathrm{\infty }}{n}^p{x}^{n}withpintegr.andx\in ]-1,1[.$$$$1)calculate{A}_1,A_{2}and{A}_3$$$$2)findarelationofrecurrencebetwenthe{A}_n$$$$\left.\mathrm{3}\right)\:{calculate}\:\sum_{{n}=\mathrm{1}}…

Question Number 46848 by maxmathsup by imad last updated on 01/Nov/18 $$caculate\int {\int }_D(x^2-y^2)e^{-x^2-y^2}dxdywith$$$$D=\{(x,y)\in R^2/x^2+y^2⩽4\}$$…

Question Number 112381 by  M±th+et+s last updated on 07/Sep/20 $$\int sin\left(x^3\right)dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 177913 by infinityaction last updated on 11/Oct/22 $$\mathbf{if}{\mathbf{I}}_{\mathbf{n}}=\int {\mathbf{xsin}}^{\mathbf{n}}\mathbf{x}\mathbf{dx}\mathbf{and}$$$${\mathbf{I}}_{\mathbf{n}}=-\frac{{\mathbf{xsin}}^{\mathbf{n}-1}\mathbf{x}\mathbf{cosx}}{\mathbf{n}}+\frac{{\mathbf{sin}}^{\mathbf{n}}\mathbf{x}}{{\mathbf{n}}^2}+\mathrm{f}\left(\mathrm{n}\right){\mathrm{I}}_{\mathrm{n}-2}$$$$\mathrm{then}\mathrm{f}\left(\mathrm{n}\right)=?$$ Terms of Service…

Question Number 46843 by maxmathsup by imad last updated on 01/Nov/18 $$letf\left(x\right)={\int }_0^x\frac{t}{sin\left(t\right)}dt$$$$1)findaexplicitformoff\left(x\right)$$$$2)calculate{\int }_0^{\frac{\pi }{2}}\frac{t}{sint}dt$$ Terms of Service…