Category: Integration

Question Number 129651 by mnjuly1970 last updated on 17/Jan/21 $$\dots nicecalculus\dots$$$$evaluate::$$$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^n}{n^2+1}{\left(\frac{sin\left(n\right)}{n}\right)}^2=?$$$$$$ Terms of…

Question Number 129645 by liberty last updated on 17/Jan/21 $$ϝ=\int \frac{dx}{1+x^{12}}.$$ Answered by mathmax by abdo last updated on 17/Jan/21 $$\mathrm{roots}\:\mathrm{of}\:\mathrm{z}^{\mathrm{12}} +\mathrm{1}=\mathrm{0}\:\:\:\Rightarrow\mathrm{z}^{\mathrm{12}} \:=\mathrm{e}^{\mathrm{i}\pi\:+\mathrm{2ik}\pi}…

Question Number 64105 by mmkkmm000m last updated on 13/Jul/19 $$\int tan\left(1/x\right)dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 64104 by mmkkmm000m last updated on 13/Jul/19 $$\int tan\left(1/x\right)dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 129635 by pticantor last updated on 17/Jan/21 $$$$$$$$$$\int \frac{\mathit{d}\mathit{x}}{{({\mathit{x}}^2+1)}^2}=?$$$$\underset{\mathit{k}=1}{\sum ^{\mathit{n}}}\frac{1}{\mathit{k}(\mathit{k}+1)(2\mathit{k}+1)}=?$$ Commented by liberty…