Category: Integration

Question Number 152722 by SANOGO last updated on 31/Aug/21 Answered by Olaf_Thorendsen last updated on 31/Aug/21 $$\bullet \mathrm{I}={\int }_0^1\frac{e^{-\frac{1}{x}}}{x^2}dx$$$$\mathrm{Let}u=\frac{1}{x}:$$$$\mathrm{I}\:=\:\int_{\mathrm{1}}…

Question Number 21634 by Isse last updated on 29/Sep/17 $$\int 3tan2t$$ Answered by Joel577 last updated on 30/Sep/17 $$I=\int 3\tan 2tdt$$$$\mathrm{Let}u=2t\to du=2dt$$$${I}\:=\:\frac{\mathrm{3}}{\mathrm{2}}\:\int\:\mathrm{tan}\:{u}\:{du} \…

Question Number 152701 by talminator2856791 last updated on 31/Aug/21 $$$$$$$$$${\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{1}{\sqrt{x^2+1}}dx$$$$$$$$$$ Terms of…

Question Number 152660 by Tawa11 last updated on 30/Aug/21 $$\int \frac{\mathrm{x}}{\sqrt{1+{\mathrm{x}}^3}}\mathrm{dx}$$ Answered by Olaf_Thorendsen last updated on 31/Aug/21 $$\left(\mathrm{1}+{u}\right)^{−\frac{\mathrm{1}}{\mathrm{2}}} \:=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \frac{\left(\mathrm{2}{n}\right)!}{\mathrm{2}^{\mathrm{2}{n}}…

Question Number 87121 by M±th+et£s last updated on 03/Apr/20 $${\int }_0^{\frac{\pi }{2}}\frac{1-x^4}{1+x^4}dx$$ Answered by redmiiuser last updated on 03/Apr/20 $$\left(\mathrm{1}+{x}^{\mathrm{4}} \right)^{−\mathrm{1}}…