Category: Integration

Question Number 58185 by maxmathsup by imad last updated on 19/Apr/19 $$find\int \frac{xdx}{cosx+sin\left(2x\right)}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 189250 by sonukgindia last updated on 13/Mar/23 Commented by MJS_new last updated on 13/Mar/23 $$\mathrm{we}\mathrm{can}\mathrm{only}\mathrm{approximate}$$ Terms of Service Privacy Policy Contact:…

Question Number 123703 by Algoritm last updated on 27/Nov/20 Answered by MJS_new last updated on 27/Nov/20 $$=\int {\left(\cos x\right)}^{5/3}dx$$$$\mathrm{use}\mathrm{these}\mathrm{formulas}:$$$$\int\left(\mathrm{sin}\:{x}\right)^{{p}/{q}} {dx}=\frac{{q}}{{p}+{q}}\left(\mathrm{sin}\:{x}\right)^{\frac{{p}+{q}}{{q}}} \:_{\mathrm{2}} \mathrm{F}_{\mathrm{1}}…

Question Number 123687 by mnjuly1970 last updated on 27/Nov/20 $$\dots nicecalculus..$$$$provethat::{lim}_{x\to 0}(\frac{2\varphi \left(x\right)}{x^2}+\frac{{\pi }^2}{3x})\stackrel{???}{=}\zeta \left(3\right)$$$$where$$$$\varphi \left(x\right)={\int }_0^1\frac{(t^x-1)\left(ln(1-t)\right)}{tln\left(t\right)}dt$$…

Question Number 123674 by mathmax by abdo last updated on 27/Nov/20 $$\mathrm{find}{\int }_0^{\mathrm{\infty }}{\mathrm{e}}^{-2\mathrm{x}}\ln (1+{\mathrm{e}}^{\mathrm{x}})\mathrm{dx}$$ Answered by Dwaipayan Shikari last updated on…