Question Number 119256 by Henri Boucatchou last updated on 23/Oct/20 $$\: \\ $$$$\:\:\:\:\:\:{Determine}\:\:\int_{−\frac{\pi}{\mathrm{4}}} ^{\:\frac{\pi}{\mathrm{4}}} \left({cost}+\sqrt{\mathrm{1}+{t}^{\mathrm{2}} {sin}^{\mathrm{3}} {tcos}^{\mathrm{3}} {t}}{dt}=?\right. \\ $$ Terms of Service Privacy Policy…
Question Number 53624 by turbo msup by abdo last updated on 24/Jan/19 $${find}\:\int_{−\infty} ^{+\infty} \:{e}^{−{x}^{\mathrm{2}} } \sqrt{\mathrm{1}+\mathrm{2}{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy…
Question Number 53623 by turbo msup by abdo last updated on 24/Jan/19 $$\left.\mathrm{1}\right)\:{study}\:{the}\:{function} \\ $$$${f}\left({x}\right)={ln}\left({x}+\mathrm{1}−\sqrt{{x}}\right) \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{f}^{−\mathrm{1}} \left({x}\right) \\ $$$$\left.\mathrm{3}\right)\:{cslculate}\:\:\int\:{f}\left({x}\right){dx}\:{snd} \\ $$$$\int\:{f}^{−\mathrm{1}} \left({x}\right){dx} \\ $$$$\left.\mathrm{4}\right)\:{dtermine}\:\int\:{f}^{−\mathrm{1}}…
Question Number 119151 by mnjuly1970 last updated on 22/Oct/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 53600 by maxmathsup by imad last updated on 23/Jan/19 $${calculate}\:{A}_{{m}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{sin}\left({mx}\right)}{{e}^{\mathrm{2}\pi{x}} −\mathrm{1}}\:{dx}\:\:{with}\:{m}>\mathrm{0} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 53601 by maxmathsup by imad last updated on 23/Jan/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{e}^{−{x}^{\mathrm{2}} } −{e}^{−{x}} }{{x}}\:{dx}\:. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…
Question Number 53599 by maxmathsup by imad last updated on 23/Jan/19 $$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{x}^{{n}−\mathrm{1}} }{{e}^{{x}} \:+\mathrm{1}}\:{dx}\:\:\:{with}\:{n}\:{integr}\:{natural}\:\:\left({n}\geqslant\mathrm{2}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{x}}{{e}^{{x}} \:+\mathrm{1}}{dx} \\ $$ Commented…
Question Number 119070 by benjo_mathlover last updated on 22/Oct/20 $$\int\:\frac{{x}^{\mathrm{2}} −{x}+\mathrm{6}}{{x}^{\mathrm{3}} +\mathrm{3}{x}}\:{dx}\: \\ $$$$\int\:\frac{\mathrm{5}{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{2}}{{x}^{\mathrm{3}} +\mathrm{2}{x}^{\mathrm{2}} }\:{dx}\: \\ $$ Answered by Olaf last updated on…
Question Number 53536 by gunawan last updated on 23/Jan/19 $$\mathrm{If}\:\left[{x}\right]\:\mathrm{stands}\:\mathrm{for}\:\mathrm{the}\:\mathrm{gratest}\:\mathrm{integer}\:\mathrm{function} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\int_{\mathrm{4}} ^{\mathrm{10}} \frac{\left[{x}^{\mathrm{2}} \right]}{\left[{x}^{\mathrm{2}} −\mathrm{28}{x}+\mathrm{196}\right]+\left[{x}^{\mathrm{2}} \right]}\:{dx}\:\mathrm{is} \\ $$$$ \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
Question Number 119038 by MJS_new last updated on 21/Oct/20 $$\underset{−\pi/\mathrm{4}} {\overset{+\pi/\mathrm{4}} {\int}}\frac{\sqrt{\mathrm{1}+\mathrm{tan}\:{x}}}{\:\sqrt{\mathrm{1}−\mathrm{tan}\:{x}}}{dx} \\ $$ Answered by mindispower last updated on 21/Oct/20 $$=\int_{−\frac{\pi}{\mathrm{4}}} ^{\frac{\pi}{\mathrm{4}}} \frac{\sqrt{\mathrm{1}−{tg}\left({x}\right)}}{\:\sqrt{\mathrm{1}+{tg}\left({x}\right)}}{dx},{I}=\int\frac{\sqrt{\mathrm{1}+{tg}\left({x}\right)}}{\:\sqrt{\mathrm{1}−{tg}\left({x}\right)}}{dx} \\…