Category: Integration

Question Number 189345 by Michaelfaraday last updated on 15/Mar/23 $$solve$$$$\int t^{-6}{(t^2+3)}^{2}dt$$ Answered by Frix last updated on 15/Mar/23 $$=\int\left(\frac{\mathrm{1}}{{t}^{\mathrm{2}}…

Question Number 123793 by liberty last updated on 28/Nov/20 $$\int \frac{4x-1}{2x^2-3x+2}dx?$$ Answered by Dwaipayan Shikari last updated on 28/Nov/20 $$\int\frac{\mathrm{4}{x}−\mathrm{3}}{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}}+\mathrm{2}\int\frac{\mathrm{1}}{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}}{dx} \…

Question Number 189323 by mnjuly1970 last updated on 14/Mar/23 Answered by witcher3 last updated on 14/Mar/23 $$\iff \mathrm{\Sigma }\frac{\mathrm{\Gamma }\left(\mathrm{n}\right)\mathrm{\Gamma }\left(\mathrm{n}\right)}{\mathrm{\Gamma }\left(2\mathrm{n}\right).2^{-\mathrm{n}}}=\sum _{\mathrm{n}⩾1}\frac{\beta (\mathrm{n},\mathrm{n})}{2^{-\mathrm{n}}}$$$$=\underset{\mathrm{n}\geqslant\mathrm{1}} {\sum}\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{x}^{\mathrm{n}−\mathrm{1}}…

Question Number 58249 by tanmay last updated on 20/Apr/19 $${\stackrel{}{I}}_n={\int }_0^{\frac{\pi }{2}}{cos}^{n}xcos\left(nx\right)dx$$$$thenshowthat{I}_1,I_2,I_3\dots .areinG.P$$ Terms of Service…

Question Number 58238 by Tawa1 last updated on 20/Apr/19 $${\int }_0^1\left(\frac{3{\mathbf{x}}^3-{\mathbf{x}}^2+2\mathbf{x}-4}{\sqrt{{\mathbf{x}}^2-3\mathbf{x}+2}}\right)\mathbf{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com