Question Number 163487 by mnjuly1970 last updated on 07/Jan/22 $$ \\ $$$$\:\Omega=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:{sin}^{\:\mathrm{2}} \left(\:\mathrm{ln}\left({x}\:\right)\right).\:\mathrm{ln}\:\left({x}\right)}{\:\sqrt{{x}}}\:{dx}=? \\ $$$$\:\:\:\:−−−−− \\ $$ Answered by Lordose last updated on…
Question Number 163400 by mnjuly1970 last updated on 06/Jan/22 $$ \\ $$$$\:\:\:\:\:{prove}\: \\ $$$$\:\:\:\:\:\Omega=\:\int_{\mathrm{0}} ^{\:\infty} {cot}^{\:−\mathrm{1}} \left(\mathrm{1}+{x}^{\:\mathrm{2}} \right)=\left(\sqrt{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}−\frac{\mathrm{1}}{\mathrm{2}}}\:\right)\:\:\pi \\ $$$$ \\ $$ Answered by Ar…
Question Number 32316 by NECx last updated on 23/Mar/18 $${A}\:{gas}\:{expands}\:{according}\:{to}\:{the} \\ $$$${law}\:{pv}={constant},{where}\:{p}\:{is}\:{the} \\ $$$${pressure}\:{and}\:{v}\:{is}\:{the}\:{volume}\:{of} \\ $$$${the}\:{gas}.{Initially},{v}=\mathrm{1000}{m}^{\mathrm{3}} \:{and} \\ $$$${p}=\mathrm{40}{N}/{m}^{\mathrm{2}} .{If}\:{the}\:{pressure}\:{is} \\ $$$${decreased}\:{at}\:{the}\:{rate}\:{of}\:\mathrm{5}{Nm}^{−\mathrm{2}} {min}^{−\mathrm{1}} \\ $$$${find}\:{the}\:{rate}\:{at}\:{which}\:{the}\:{gas}\:{is}…
Question Number 32313 by NECx last updated on 23/Mar/18 $${If}\:{y}={sinx}\:{then}\:{show}\:{that} \\ $$$$\frac{{d}^{{n}} {y}}{{dx}^{{n}} }={sin}\left({x}+\frac{{n}\pi}{\mathrm{2}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 32308 by Ruchinna1 last updated on 22/Mar/18 Answered by Joel578 last updated on 23/Mar/18 $$\left(\mathrm{3}\right) \\ $$$${y}''''\:=\:\mathrm{5}{x} \\ $$$$\:{y}'''\:=\:\frac{\mathrm{5}}{\mathrm{2}}{x}^{\mathrm{2}} \:+\:{C} \\ $$$$\:\:{y}''\:=\:\frac{\mathrm{5}}{\mathrm{6}}{x}^{\mathrm{3}} \:+\:{C}_{\mathrm{1}}…
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Question Number 32305 by abdo imad last updated on 22/Mar/18 $${find}\:\int_{\mathrm{1}} ^{{e}} \:{sin}\left({ln}\left({x}\right)\right){dx}\:. \\ $$ Commented by abdo imad last updated on 24/Mar/18 $${let}\:{use}\:{the}\:{ch}.{lnx}={t}\:\Rightarrow\:{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 163367 by poeter last updated on 06/Jan/22 Answered by som(math1967) last updated on 06/Jan/22 $$\mathrm{1}.\:{equn}\:{of}\:{circle}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{10}\:\left({given}\right) \\ $$$$\:\:\frac{{dy}}{{dx}}=\frac{−{x}}{{y}} \\ $$$$\left[\frac{{dy}}{{dx}}\right]_{\mathrm{1},\mathrm{3}} =\frac{−\mathrm{1}}{\mathrm{3}} \\…
Question Number 97784 by 175 last updated on 09/Jun/20 $${If}\:{f}\left({x}\right)=\left(\left(\left(\:{x}\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} \right)^{\iddots} \\ $$$${find}:\:\frac{{dy}}{{dx}} \\ $$ Answered by mr W last updated on 09/Jun/20 $${f}\left({x}\right)=\underset{{n}\rightarrow\infty}…