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Category: Integration

Question-140490

Question Number 140490 by benjo_mathlover last updated on 08/May/21 Commented by john_santu last updated on 08/May/21 $$\frac{\pi}{\mathrm{2}}\:\left(\sqrt{\mathrm{2}\sqrt{\mathrm{2}}+\mathrm{2}}\:−\mathrm{2}\:\right)\:\approx\:\mathrm{0}.\mathrm{31} \\ $$ Answered by MJS_new last updated on…

Question-140447

Question Number 140447 by 676597498 last updated on 07/May/21 Answered by EDWIN88 last updated on 07/May/21 $$\mathrm{L}+\mathrm{M}=\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}\left(\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}\right)\mathrm{dx} \\ $$$$\mathrm{L}+\mathrm{M}\:=\:\underset{\mathrm{0}}…

find-x-3-x-1-2-x-dx-

Question Number 74890 by abdomathmax last updated on 03/Dec/19 $${find}\:\int\:\:\:\left({x}+\mathrm{3}\right)\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{2}−{x}\right)}{dx} \\ $$ Commented by mathmax by abdo last updated on 04/Dec/19 $${let}\:{I}\:=\int\:\left({x}+\mathrm{3}\right)\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{2}−{x}\right)}{dx}\:\:{changement}\:\sqrt{{x}−\mathrm{1}}={t}\:{give} \\ $$$${x}−\mathrm{1}={t}^{\mathrm{2}} \:\Rightarrow{I}\:=\int\left({t}^{\mathrm{2}}…

Q-How-will-you-define-integrating-constant-C-In-how-many-ways-can-you-define-C-

Question Number 74891 by vishalbhardwaj last updated on 03/Dec/19 $$\mathrm{Q}.\:\mathrm{How}\:\mathrm{will}\:\mathrm{you}\:\mathrm{define}\:\mathrm{integrating}\: \\ $$$$\mathrm{constant}\:\mathrm{C}\:?\:\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{you} \\ $$$$\mathrm{define}\:\mathrm{C}\:? \\ $$$$ \\ $$ Commented by vishalbhardwaj last updated on 03/Dec/19…

calculate-x-1-x-3-x-2-2-dx-

Question Number 74886 by abdomathmax last updated on 03/Dec/19 $${calculate}\:\int\:\:\frac{{x}+\mathrm{1}}{\left({x}^{\mathrm{3}} +{x}−\mathrm{2}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last updated on 15/Dec/19 $${let}\:{I}\:=\int\:\:\frac{{x}+\mathrm{1}}{\left({x}^{\mathrm{3}} +{x}−\mathrm{2}\right)^{\mathrm{2}}…