Category: Integration

Question Number 165329 by mnjuly1970 last updated on 30/Jan/22 $$$$$$prove(n\in \mathbb{N})$$$$3(n+1)\mid n^3+{(n+1)}^3+{(n+2)}^3$$$$$$ Answered by Rasheed.Sindhi last updated…

Question Number 34254 by math khazana by abdo last updated on 03/May/18 $$findI\left(x\right)={\int }_0^1\frac{ln(1+{xt}^2)}{t^2}dt.$$ Terms of Service Privacy Policy Contact:…

Question Number 34253 by math khazana by abdo last updated on 03/May/18 $$letF\left(x\right)={\int }_0^x\frac{ln(1+t^2)}{t^2}dt$$$$1)calculateF\left(x\right)$$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{ln}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)}{{t}^{\mathrm{2}} }{dt}…

Question Number 99779 by john santu last updated on 23/Jun/20 Commented by Dwaipayan Shikari last updated on 23/Jun/20 $$\int{tan}^{\mathrm{6}} {xsec}^{\mathrm{2}} {xsec}^{\mathrm{2}} {xdx}=\int{t}^{\mathrm{6}} \left(\mathrm{1}+{t}^{\mathrm{2}} \right){dt}=\frac{{t}^{\mathrm{7}} }{\mathrm{7}}+\frac{{t}^{\mathrm{9}}…

Question Number 34229 by abdo imad last updated on 03/May/18 $$calculate{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{cos\left(tx\right)}{1+x^4}dxwitht⩾0$$$$2)calculate{\int }_0^{\mathrm{\infty }}\frac{dx}{1+x^4}.$$ Commented by math khazana…