Question Number 13365 by tawa tawa last updated on 19/May/17 $$\int\:\:\mathrm{e}^{\left(\mathrm{x}\:+\:\mathrm{e}^{\mathrm{x}} \right)} \:\:\mathrm{dx} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 19/May/17 Commented by tawa…
Question Number 144432 by ArielVyny last updated on 25/Jun/21 $$\int_{\mathrm{0}} ^{\propto} {t}^{{n}−\mathrm{2}} {costdt} \\ $$ Answered by Dwaipayan Shikari last updated on 25/Jun/21 $$\int_{\mathrm{0}} ^{\infty}…
Question Number 13364 by tawa tawa last updated on 19/May/17 $$\int_{\:\:\:\mathrm{0}} ^{\:\:\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{2}}} \:\:\:\frac{\mathrm{x}^{\mathrm{3}} }{\:\sqrt{\mathrm{4x}^{\mathrm{2}} \:−\:\mathrm{9}}}\:\:\mathrm{dx} \\ $$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 19/May/17 $${you}\:{should}\:{change}\:{the}\:{limits}\:{of}\:{integral}.…
Question Number 78897 by Mikael_786 last updated on 21/Jan/20 Commented by mind is power last updated on 21/Jan/20 $${translate}\:{please} \\ $$ Commented by mr W…
Question Number 13362 by tawa tawa last updated on 19/May/17 $$\int\:\frac{\mathrm{x}^{\mathrm{3}} }{\:\sqrt{\mathrm{16}\:−\:\mathrm{x}^{\mathrm{2}} }}\:\:\mathrm{dx} \\ $$ Answered by ajfour last updated on 19/May/17 $${I}=\frac{\mathrm{1}}{\mathrm{2}}\int\:\frac{{x}^{\mathrm{2}} \left(\mathrm{2}{xdx}\right)}{\:\sqrt{\mathrm{16}−{x}^{\mathrm{2}} }}…
Question Number 13360 by tawa tawa last updated on 19/May/17 $$\int\:\:\frac{\mathrm{x}}{\:\sqrt{\mathrm{3}\:−\:\mathrm{2x}\:−\:\mathrm{x}^{\mathrm{2}} }}\:\mathrm{dx} \\ $$ Answered by ajfour last updated on 19/May/17 $$\boldsymbol{{I}}=\int\frac{\mathrm{x}+\mathrm{1}−\mathrm{1}}{\:\sqrt{\mathrm{4}−\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }}\:\mathrm{dx} \\ $$$$−\frac{\mathrm{1}}{\mathrm{2}}\int\frac{−\mathrm{2}\left({x}+\mathrm{1}\right)}{\:\sqrt{\mathrm{4}−\left({x}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 144431 by imjagoll last updated on 25/Jun/21 $$\:\:\:\int\mathrm{tan}\:\mathrm{x}\:\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{cos}\:^{\mathrm{3}} \mathrm{x}\:\mathrm{cot}\:^{\mathrm{4}} \mathrm{x}\:\mathrm{dx}\:=? \\ $$ Answered by iloveisrael last updated on 25/Jun/21 $$\:\int\:\frac{\mathrm{cos}\:^{\mathrm{6}} \mathrm{x}\:\mathrm{sin}\:\mathrm{x}}{\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx}\:=\:\int\:\frac{\mathrm{cos}\:^{\mathrm{6}}…
Question Number 144419 by mnjuly1970 last updated on 25/Jun/21 $$\:\:\:\:\:…{Advanced}\:….{Calculus}… \\ $$$${Without}\:{using}\:{the}\:{Feynman}'{s}\:{trick}\:, \\ $$$$\:\:\:\:\:{Find}\:{the}\:{value}\:{of}\:\:\::: \\ $$$$\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{I}\::=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{Log}\:\left(\mathrm{1}+\:\mathrm{x}^{\:\mathrm{2}} \right)}{\mathrm{1}\:+\mathrm{x}}\:\mathrm{dx}=? \\ $$$$\:\:\:\:\mathrm{m}.\mathrm{n}… \\ $$…
Question Number 144409 by liberty last updated on 25/Jun/21 $$\:\:\:\:\int\:\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{3}\right)\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }}\:? \\ $$ Answered by iloveisrael last updated on 25/Jun/21 $$\:\mathrm{let}\:\mathrm{x}=\mathrm{sin}\:\mathrm{t}\: \\ $$$$\mathrm{I}=\int\:\frac{\mathrm{cos}\:\mathrm{t}}{\left(\mathrm{3}+\mathrm{sin}\:\mathrm{t}\right)\sqrt{\mathrm{1}−\mathrm{sin}\:^{\mathrm{2}} \mathrm{t}}}\:\mathrm{dt} \\…
Question Number 144402 by rexford last updated on 25/Jun/21 Commented by justtry last updated on 25/Jun/21 Commented by rexford last updated on 27/Jun/21 $${thanks}\:{very}\:{much}\:{for}\:{your}\:{time} \\…