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 $${let}\:{I}\:=\int\:\left({x}+\mathrm{3}\right)\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{2}−{x}\right)}{dx}\:\:{changement}\:\sqrt{{x}−\mathrm{1}}={t}\:{give} \\ $$$${x}−\mathrm{1}={t}^{\mathrm{2}} \:\Rightarrow{I}\:=\int\left({t}^{\mathrm{2}}…
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Question Number 74891 by vishalbhardwaj last updated on 03/Dec/19 $$\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…
Question Number 74888 by abdomathmax last updated on 03/Dec/19 $${calculate}\:{f}\left(\alpha\right)=\int\sqrt{{x}^{\mathrm{2}} −{x}+\alpha}{dx}\:\:\left(\alpha\:{real}\right) \\ $$ Commented by MJS last updated on 03/Dec/19 $$\mathrm{no}\:\mathrm{borders}? \\ $$ Commented by…
Question Number 74889 by abdomathmax last updated on 03/Dec/19 $${find}\:\int_{−\frac{\mathrm{1}}{\mathrm{2}}} ^{+\infty} \:\:{e}^{−{x}} \sqrt{\mathrm{2}{x}+\mathrm{1}}{dx} \\ $$ Commented by mathmax by abdo last updated on 06/Dec/19 $${let}\:{I}\:=\int_{−\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 74886 by abdomathmax last updated on 03/Dec/19 $${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}}…
Question Number 74887 by abdomathmax last updated on 03/Dec/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\left({n}+\mathrm{1}\right){n}^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last updated on 21/Dec/19…
Question Number 74884 by abdomathmax last updated on 03/Dec/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\mathrm{20}} \:\frac{\mathrm{1}}{{n}^{\mathrm{2}} } \\ $$$$ \\ $$ Commented by mathmax by abdo last updated on…
Question Number 9349 by Yozzias last updated on 02/Dec/16 $$\mathrm{We}\:\mathrm{know}\:\mathrm{that}\:\mathbb{R}=\mathbb{Q}\cup\overset{−} {\mathbb{Q}}\:\subset\:\mathbb{C}.\:\mathrm{Is}\:\mathrm{there}\: \\ $$$$\mathrm{another}\:\mathrm{set}\:\mathbb{V}\:\mathrm{such}\:\mathrm{that}\:\mathbb{C}\subset\mathbb{V}\:? \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74885 by abdomathmax last updated on 03/Dec/19 $${calcilate}\:\sum_{{n}=\mathrm{1}} ^{\mathrm{16}} \:\frac{\mathrm{1}}{{n}^{\mathrm{3}} } \\ $$ Answered by tw000001 last updated on 05/Dec/19 $$\mathrm{I}\:\mathrm{use}\:\mathrm{integral}\:\mathrm{to}\:\mathrm{solve}. \\ $$$$\underset{{n}=\mathrm{1}}…