Question Number 168463 by cortano1 last updated on 11/Apr/22 $$\:\:\:\:\:\:\:\:\:\:\:\:\int\:\frac{\mathrm{4csc}^{\mathrm{2}} {x}}{\:\sqrt{\mathrm{1}−\mathrm{3cot}\:\mathrm{2}{x}}}\:{dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 168459 by BegamovSirojiddin last updated on 11/Apr/22 Answered by Mathspace last updated on 11/Apr/22 $${I}=\int\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +{x}+\mathrm{1}\right)^{\frac{\mathrm{5}}{\mathrm{2}}} } \\ $$$${I}=\int\:\:\frac{{dx}}{\left(\left({x}+\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} +\frac{\mathrm{3}}{\mathrm{4}}\right)^{\frac{\mathrm{5}}{\mathrm{2}}} }\:\:\left({x}+\frac{\mathrm{1}}{\mathrm{2}}=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}{tant}\right. \\ $$$${I}=\int\frac{\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\left(\mathrm{1}+{tan}^{\mathrm{2}}…
Question Number 102911 by I want to learn more last updated on 11/Jul/20 $$\int\:\frac{\mathrm{sin}\left(\mathrm{x}\right)}{\mathrm{x}}\:\:\mathrm{dx} \\ $$ Commented by prakash jain last updated on 11/Jul/20 $$\mathrm{This}\:\mathrm{question}\:\mathrm{has}\:\mathrm{been}\:\mathrm{asked}\:\mathrm{so}\:\mathrm{many}…
Question Number 168446 by amin96 last updated on 10/Apr/22 Answered by Mathspace last updated on 11/Apr/22 $$\Psi=\frac{\mathrm{1}}{\mathrm{2}}\int_{−\infty} ^{+\infty} \:\frac{{cos}\left({nx}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$$$={Re}\left(\frac{\mathrm{1}}{\mathrm{2}}\int_{−\infty} ^{+\infty\:} \frac{{e}^{{inx}} }{{x}^{\mathrm{2}}…
Question Number 102905 by bemath last updated on 11/Jul/20 $${I}=\mathrm{2}\underset{\mathrm{0}} {\overset{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}} {\int}}\:\frac{\mathrm{sin}^{−\mathrm{1}} \left({x}\right)}{{x}}\:{dx}\:−\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{−\mathrm{1}} \left({x}\right)}{{x}}{dx} \\ $$ Answered by bramlex last updated on 11/Jul/20…
Question Number 37365 by math khazana by abdo last updated on 12/Jun/18 $${find}\:{L}^{−\mathrm{1}} \left\{\:\:\frac{\mathrm{1}}{\left({a}+{x}\right)^{\mathrm{2}} }\right\}\:\:{and}\:{L}^{−\mathrm{1}} \left\{\frac{\mathrm{1}}{\left({a}+{x}\right)^{\mathrm{3}} }\right\}\:. \\ $$ Commented by prof Abdo imad last…
Question Number 37366 by math khazana by abdo last updated on 12/Jun/18 $${let}\:{f}\left({x}\right)\:=\:\frac{{e}^{−\frac{{x}}{{a}}} }{{a}} \\ $$$${find}\:{L}\left({f}\left({x}\right)\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 37364 by math khazana by abdo last updated on 12/Jun/18 $${calculate}\:\:{L}\left\{\:\frac{{x}^{{n}−\mathrm{1}} \:{e}^{−{ax}} }{\left({n}−\mathrm{1}\right)!}\right\}\:{then}\:{conclude} \\ $$$${L}^{−\mathrm{1}} \left\{\:\:\frac{\mathrm{1}}{\left({a}+{x}\right)^{{n}} }\right\} \\ $$ Commented by prof Abdo…
Question Number 37362 by math khazana by abdo last updated on 12/Jun/18 $${find}\:{L}\left({cos}\left({wx}\right)\right)\:{and}\:{L}\left({sin}\left({wx}\right)\right) \\ $$$${L}\:{is}\:{laplace}\:{transform}\:\:. \\ $$ Commented by math khazana by abdo last updated…
Question Number 37361 by math khazana by abdo last updated on 12/Jun/18 $${calculate}\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{ln}\left({x}\right)}{\mathrm{1}+{x}^{\mathrm{3}} }\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com