Category: Integration

Question Number 87995 by abdomathmax last updated on 07/Apr/20 $${find}\:\int\:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} \left({x}^{\mathrm{2}} \:+\mathrm{2}\right)} \\ $$ Answered by redmiiuser last updated on 08/Apr/20 $$\frac{\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{1}}={t} \\…

Question Number 87993 by abdomathmax last updated on 07/Apr/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left({x}+\mathrm{2}\right)^{\mathrm{2}} \left({x}+\mathrm{3}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated on…

Question Number 87969 by M±th+et£s last updated on 07/Apr/20 Answered by mind is power last updated on 07/Apr/20 $$=\underset{{k}\geqslant\mathrm{1}} {\sum}\int_{{k}} ^{\frac{\mathrm{2}{k}+\mathrm{1}}{\mathrm{2}}} \frac{\sqrt{\left.{x}−\lfloor{x}\right]}}{\left[\mathrm{2}{x}\right]^{\mathrm{2}} }{d}\underset{={S}} {{x}}+\underset{{k}\geqslant\mathrm{1}} {\sum}\int_{\frac{\mathrm{2}{k}+\mathrm{1}}{\mathrm{2}}}…

Question Number 87920 by M±th+et£s last updated on 07/Apr/20 Commented by M±th+et£s last updated on 07/Apr/20 $${prove} \\ $$ Terms of Service Privacy Policy Contact:…

Question Number 87903 by mathmax by abdo last updated on 07/Apr/20 $${find}\:\int_{\mathrm{0}} ^{\infty} \int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({xy}\right)}{\left({x}+{y}\right)^{\mathrm{2}} }{dxdy} \\ $$ Terms of Service Privacy Policy Contact:…