Category: Integration

Question Number 67531 by mathmax by abdo last updated on 28/Aug/19 $$provethatcos\left(\pi z\right)=\prod _{n=1}^{\mathrm{\infty }}(1-\frac{z^2}{{(\frac{1}{2}+n)}^2})$$ Commented by ~ À ® @ 237…

Question Number 67526 by mathmax by abdo last updated on 28/Aug/19 $$findthevalueof{\int }_0^{2\pi }\frac{dx}{3+2sinx+cosx}$$ Commented by mathmax by abdo last updated on 31/Aug/19…

Question Number 67517 by mathmax by abdo last updated on 28/Aug/19 $$letz\in Cand\mid z\mid <1provethat$$$$\frac{z}{1-z^2}+\frac{z^2}{1-z^4}+\dots ..+\frac{z^{2^n}}{1-z^{2^{n+1}}}+\dots =\frac{z}{1-z}$$$$\frac{{z}}{\mathrm{1}+{z}}\:+\frac{\mathrm{2}{z}^{\mathrm{2}} }{\mathrm{1}+{z}^{\mathrm{2}} }\:+….+\frac{\mathrm{2}^{{n}}…

Question Number 133048 by mnjuly1970 last updated on 18/Feb/21 $$nice\dots ..calculus\dots$$$$evaluate::\underset{n=1}{\sum ^{\mathrm{\infty }}}\left(\frac{{\mathrm{H}}_n}{n^2+n}\right)=?$$$$$$ Terms of Service Privacy Policy…

Question Number 133050 by mnjuly1970 last updated on 18/Feb/21 $$\dots nice\dots \dots calculus\dots$$$$\mathit{\varphi }={\int }_0^1{xli}_3\left(x\right)dx=???$$$$$$ Answered by Dwaipayan Shikari last updated…