Category: Integration

Question Number 31057 by abdo imad last updated on 02/Mar/18 $$find{\int }_0^1\frac{\sqrt{1+x^2}-\sqrt{1-x^2}}{x^2}dx.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 31055 by abdo imad last updated on 02/Mar/18 $$find{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{dx}{(x^2-x+1)(x^2-2x+4)}.$$ Commented by abdo imad last updated on 03/Mar/18…

Question Number 31052 by abdo imad last updated on 02/Mar/18 $$letgive0<a<bfind{\int }_a^b\frac{lnx}{x}dx.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 31051 by abdo imad last updated on 02/Mar/18 $$studytheconvergenceof{\int }_0^{\mathrm{\infty }}\frac{e^{-ax}-e^{-bx}}{1-e^{-x}}dx.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 162117 by CM last updated on 27/Dec/21 Commented by cortano last updated on 27/Dec/21 $$\int x^2\sqrt{4-{(1-x)}^2}dx=?$$$$[1-x=2\sin t\Rightarrow dx=-2\cos tdt]$$$$\:\int\:\left(\mathrm{1}−\mathrm{2sin}\:{t}\right)^{\mathrm{2}} \:\left(−\mathrm{2cos}\:^{\mathrm{2}} {t}\right){dt}…