Question Number 138973 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty\:} \:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{2}} +\mathrm{2}} \\ $$ Answered by mathmax by abdo last updated…
Question Number 7903 by tawakalitu last updated on 24/Sep/16 Commented by sou1618 last updated on 24/Sep/16 $${S}\:=\:\frac{\:\:\underset{{k}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\sqrt{\mathrm{10}+\sqrt{{k}}}\:}{\:\:\underset{{k}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\sqrt{\mathrm{10}−\sqrt{{k}}}\:} \\ $$$${S}\fallingdotseq{S}\:'=\frac{\:\:\int_{\mathrm{0}} ^{\mathrm{100}} \sqrt{\mathrm{10}+\sqrt{{x}}\:}\:{dx}\:}{\:\:\int_{\mathrm{0}}…
Question Number 138972 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{\mathrm{cos}^{\mathrm{2}} \left(\mathrm{x}\right)}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 7902 by tawakalitu last updated on 24/Sep/16 $${The}\:{diameter}\:{of}\:{the}\:{wheel}\:{of}\:{a}\:{car}\:{is}\:\mathrm{36}\:{cm}.\: \\ $$$${how}\:{many}\:{revolutions}\:{correct}\:{to}\:\mathrm{3}\:{significant} \\ $$$${figure}\:,\:{will}\:{it}\:{make}\:{to}\:{cover}\:{a}\:{distance}\:{of}\:\mathrm{1}.\mathrm{05}{km} \\ $$$${take}\:\pi\:=\:\frac{\mathrm{22}}{\mathrm{7}} \\ $$ Answered by sandy_suhendra last updated on 24/Sep/16…
Question Number 7901 by tawakalitu last updated on 24/Sep/16 $${A}\:{dealer}\:{sold}\:{a}\:{car}\:{to}\:{a}\:{man}\:{and}\:{made}\:{a}\:{profit}\:{of}\:\mathrm{15\%} \\ $$$${the}\:{man}\:{then}\:{sold}\:{it}\:{to}\:{a}\:{woman}\:{for}\:#\mathrm{120},\mathrm{175}.\mathrm{00} \\ $$$${at}\:{a}\:{loss}\:{of}\:\mathrm{5\%}.\:{How}\:{much}\:{did}\:{the}\:{dealer}\:{buy}\:{the}\:{car}. \\ $$ Answered by sandy_suhendra last updated on 24/Sep/16 $${the}\:{man}\:{buys}\:{the}\:{car}\:=\:\frac{\mathrm{100}}{\mathrm{95}}×\mathrm{120},\mathrm{175}=\:\mathrm{126},\mathrm{500}\:={the}\:{dealer}\:{sold} \\…
Question Number 7900 by tawakalitu last updated on 23/Sep/16 $${Find}\:{an}\:{equation}\:{of}\:{the}\:{tangent}\:{line}\:{to}\:{the}\:{curve}\: \\ $$$${y}\:=\:{tan}^{\mathrm{2}} {x}\:\:\:{at}\:\:{the}\:{point}\:\:\left(\frac{\pi}{\mathrm{3}},\:\mathrm{3}\right) \\ $$ Commented by sou1618 last updated on 24/Sep/16 $${l}:{tangent}\:{line} \\ $$$$\mathrm{3}={tan}^{\mathrm{2}}…
Question Number 7898 by tawakalitu last updated on 23/Sep/16 $$\int{cos}^{\mathrm{6}} {x}\:\:{dx} \\ $$ Commented by sandy_suhendra last updated on 24/Sep/16 $${cos}^{\mathrm{6}} {x}\:=\:\left({cos}^{\mathrm{2}} {x}\right)^{\mathrm{3}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\left(\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}}{cos}\mathrm{2}{x}\right)^{\mathrm{3}}…
Question Number 138971 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{4}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138970 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{\mathrm{xsin}\left(\mathrm{2x}\right)}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated…
Question Number 138967 by mnjuly1970 last updated on 20/Apr/21 $$\:\Theta=\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({x}\right).{log}^{\mathrm{2}} \left({x}\right)}{{x}}{dx}=\frac{\pi}{\mathrm{24}}\left(\mathrm{12}\:\gamma^{\:\mathrm{2}} +\pi^{\mathrm{2}} \right)….\checkmark \\ $$ Answered by Dwaipayan Shikari last updated on 20/Apr/21…