Category: Integration

Question Number 141319 by mnjuly1970 last updated on 18/May/21 $$$$$$prove::$$$$\mathrm{\Omega }:={\int }_0^1\frac{{ln}^2\left(x\right)}{1-x^4}dx=\frac{{\pi }^3}{32}+\frac{7}{8}\zeta \left(3\right)..$$ Answered by qaz last…

Question Number 10241 by FilupSmith last updated on 31/Jan/17 $${\int }_a^{a+\delta }\frac{\sin \left(x\right)}{\cos (x+\delta )}dx=???$$ Commented by prakash jain last updated on 31/Jan/17 $$\frac{\sin \left(x\right)}{\cos (x+\delta )}=\frac{\sin (x+\delta -\delta )}{\cos (x+\delta )}$$$$=\frac{\mathrm{sin}\:\left({x}+\delta\right)\mathrm{cos}\:\delta−\mathrm{cos}\:\left({x}+\delta\right)\mathrm{sin}\:\delta}{\mathrm{cos}\:\left({x}+\delta\right)}…

Question Number 75773 by Ajao yinka last updated on 16/Dec/19 Answered by mind is power last updated on 16/Dec/19 $$\log (1+{\mathrm{e}}^{\mathrm{x}})=\mathrm{x}+\log (1+{\mathrm{e}}^{-\mathrm{x}})$$$$=\int_{\mathrm{0}} ^{+\infty}…

Question Number 75769 by Ajao yinka last updated on 16/Dec/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 75750 by rajesh4661kumar@gmail.com last updated on 16/Dec/19 Commented by MJS last updated on 16/Dec/19 $$\mathrm{this}\mathrm{cannot}\mathrm{be}\mathrm{solved}\mathrm{using}\mathrm{elementary}$$$$\mathrm{calculus}$$$$\mathrm{a}\mathrm{solution}\mathrm{was}\mathrm{posted}\mathrm{on}\mathrm{this}\mathrm{forum}\mathrm{some}$$$$\mathrm{time}\mathrm{ago}$$…