Question Number 91703 by DuDono last updated on 02/May/20 $$\int_{−\infty} ^{+\infty} {f}^{\mathrm{2}} \left({x}\right){dx}\:\forall{f} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26142 by moxhix last updated on 21/Dec/17 $$\mathrm{Prove}\:\mathrm{that}\: \\ $$$$\mathrm{If}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{Riemann}\:\mathrm{integrable}\:\mathrm{on}\:\left[{a},{b}\right]\:\mathrm{and} \\ $$$$\:\:\:\:\:\exists{M}>\mathrm{0}\:{s}.{t}.\:\forall{x}\in\left[{a},{b}\right]\:\left({f}\left({x}\right)\neq\mathrm{0}\:{and}\:\mid{f}\left({x}\right)\mid<{M}\:{and}\:\mid\frac{\mathrm{1}}{{f}\left({x}\right)}\mid<{M}\right), \\ $$$$\mathrm{then}\:\frac{\mathrm{1}}{{f}\left({x}\right)}\:\mathrm{is}\:\mathrm{Riemann}\:\mathrm{integrable}\:\mathrm{on}\:\left[{a},{b}\right]. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 157207 by samer12 last updated on 21/Oct/21 $$\mathrm{sin}\:\mathrm{ln}{xdx} \\ $$ Commented by puissant last updated on 21/Oct/21 $${Q}\mathrm{156695} \\ $$ Terms of Service…
Question Number 91668 by M±th+et+s last updated on 02/May/20 $$\int{e}^{{x}^{\mathrm{2}} } \:{erf}\left({x}\right)\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26125 by offrinshingal last updated on 20/Dec/17 Commented by abdo imad last updated on 21/Dec/17 $$\int_{{R}} \frac{{x}\:{e}^{{irx}} }{\left({x}^{\mathrm{2}} −{k}^{\mathrm{2}} \right)}{dx}\:−\:\int_{{R}} \:\frac{{x}\:{e}^{−{irx}} }{\left({x}^{\mathrm{2}} −\:{k}^{\mathrm{2}}…
Question Number 26110 by abdo imad last updated on 19/Dec/17 $${let}\:{s}\:{give}\:{n}\:{from}\:{N}\:\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\pi} \:\:\frac{{sin}\left({nx}\right)}{{sinx}}\:{dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26107 by abdo imad last updated on 19/Dec/17 $${answer}\:{to}\:\mathrm{26024}\:\:\:\:{let}\:\:{put}\:{c}=\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left({ax}^{\mathrm{2}} \right){dx}\:\:\:{and}\:\:\:{c}\:=\:\:\int_{\mathrm{0}} ^{\infty} \:{sin}\left({ax}^{\mathrm{2}} \right){dx} \\ $$$${ew}\:{have}\:\:{c}−{is}\:\:=\:\:\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{iax}^{\mathrm{2}} } {dx}\:\:\:=\mathrm{2}^{−\mathrm{1}} \:\:\int_{{R}} \:{e}^{−{iax}^{\mathrm{2}}…
Question Number 91641 by mathmax by abdo last updated on 02/May/20 $${find}\:\int\:\frac{{cos}^{\mathrm{4}} {x}+{sin}^{\mathrm{4}} {x}}{{cos}^{\mathrm{3}} {x}+{sin}^{\mathrm{3}} {x}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 157175 by cortano last updated on 20/Oct/21 Commented by puissant last updated on 20/Oct/21 $$\Omega=\frac{\pi^{\mathrm{2}} }{\mathrm{4}} \\ $$ Answered by Mathspace last updated…
Question Number 91636 by ibrahim last updated on 02/May/20 $$\int\frac{{dx}}{{x}\left(\sqrt{{x}}+^{\mathrm{5}} \sqrt{{x}^{\mathrm{2}} }\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com