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Category: Integration

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}}…

find-the-value-of-n-1-1-4n-4n-1-4n-2-4n-3-

Question Number 140405 by mnjuly1970 last updated on 07/May/21 $$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:{find}\:\:{the}\:\:{value}\:{of}\::: \\ $$$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\Theta\::=\underset{{n}=\mathrm{1}\:} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{4}{n}.\left(\mathrm{4}{n}+\mathrm{1}\right).\left(\mathrm{4}{n}+\mathrm{2}\right).\left(\mathrm{4}{n}+\mathrm{3}\right)}=? \\ $$$$\:\:\:\:\: \\ $$ Answered by qaz…

Question-74861

Question Number 74861 by aliesam last updated on 02/Dec/19 Answered by mind is power last updated on 02/Dec/19 $$\left(\mathrm{ln}^{\mathrm{2}} \left(\mathrm{x}\right)\right)^{\frac{\mathrm{1}}{\mathrm{2}}} =−\mathrm{ln}\left(\mathrm{x}\right) \\ $$$$\left(\mathrm{ln}\left(\mathrm{x}^{\mathrm{2}} \right)\right)^{\frac{−\mathrm{1}}{\mathrm{2}}} =\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}.\left(\frac{\mathrm{1}}{\mathrm{ln}\left(\mathrm{x}\right)}\right)^{\frac{\mathrm{1}}{\mathrm{2}}}…