Question Number 129033 by oustmuchiya@gmail.com last updated on 12/Jan/21 $${prove}\:{using}\:{the}\:{first}\:{principle}\:{that} \\ $$$${the}\:{derivative}\:{of}\:\boldsymbol{{sin}}\:\boldsymbol{{x}}\:{is}\:\boldsymbol{{cox}}\:\boldsymbol{{x}}\:{and} \\ $$$${that}\:{the}\:{derivative}\:{of}\:\boldsymbol{{cos}}\:\boldsymbol{{x}}\:{is} \\ $$$$−\boldsymbol{{sinx}} \\ $$ Commented by bramlexs22 last updated on 12/Jan/21…
Question Number 129014 by bramlexs22 last updated on 12/Jan/21 $$\:\int_{−\frac{\mathrm{1}}{\mathrm{2}}} ^{\:−\frac{\mathrm{1}}{\mathrm{4}}} {x}\left({x}+\mathrm{1}\right)\:\sqrt{\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }+\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} }}\:{dx}\:=?\: \\ $$ Commented by Ajao yinka last updated on 12/Jan/21 37/192…
Question Number 129009 by bramlexs22 last updated on 12/Jan/21 $$\:\mathrm{Given}\:\mathrm{f}\left(\mathrm{x}+\mathrm{1}\right)=\frac{\mathrm{1}+\mathrm{f}\left(\mathrm{x}\right)}{\mathrm{1}−\mathrm{f}\left(\mathrm{x}\right)}\:;\:\mathrm{f}\left(\mathrm{2}\right)=\mathrm{2} \\ $$$$\mathrm{and}\:\int_{\mathrm{2}} ^{\:\mathrm{2018}} \mathrm{x}.\mathrm{f}\left(\mathrm{2018}\right)\mathrm{dx}=\mathrm{2}^{\mathrm{a}} .\mathrm{3}^{\mathrm{b}} .\mathrm{5}^{\mathrm{c}} .\mathrm{7}^{\mathrm{d}} .\mathrm{11}^{\mathrm{e}} .\mathrm{101}^{\mathrm{f}} \\ $$$$\mathrm{then}\:\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}+\mathrm{e}\:+\mathrm{f}=\_\_ \\ $$ Answered by…
Question Number 129001 by pipin last updated on 12/Jan/21 $$\: \\ $$$$\:\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{dx}}{\mathrm{1}+\mathrm{x}^{\mathrm{4}} \:}\:=\:… \\ $$ Answered by Ar Brandon last updated on 12/Jan/21…
Question Number 128985 by bramlexs22 last updated on 11/Jan/21 $$\:\int\:\mathrm{ln}\:\left(\mathrm{tan}\:\mathrm{x}\right)\:\mathrm{ln}\:\left(\mathrm{sin}\:\mathrm{x}\right)\:\mathrm{dx}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 128982 by bramlexs22 last updated on 11/Jan/21 $$\:\int_{\:\mathrm{0}} ^{\:\infty} \:\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \:\mathrm{cos}\:\mathrm{x}\:\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on 12/Jan/21…
Question Number 128983 by bramlexs22 last updated on 11/Jan/21 $$\:\int\:\frac{\sqrt{\mathrm{x}}}{\mathrm{x}−\mathrm{1}}\:\mathrm{dx}\:=? \\ $$ Commented by bramlexs22 last updated on 12/Jan/21 Answered by liberty last updated on…
Question Number 128977 by mnjuly1970 last updated on 11/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:{calculus}… \\ $$$$\:\:\:\:\mathscr{E}{valuate}\:::: \\ $$$$\:\:\:\:\:\:\mathrm{I}:=\int_{\mathrm{0}} ^{\:\mathrm{1}} {ln}\left(\frac{\mathrm{1}}{{x}}\:−\:{x}\right)\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} }\:=? \\ $$$$\:\:\:\:\:\:\:\ast………………………………\ast \\ $$ Answered by abderrahimelmerrouni last…
Question Number 63433 by minh2001 last updated on 04/Jul/19 $$\underset{\mathrm{1}} {\overset{{x}} {\int}}{x}^{\mathrm{2}} −\mathrm{3}{x}\sqrt{{x}}{dx}\:=\frac{−\mathrm{716}}{\mathrm{15}} \\ $$$${then}\:{calculate}\:\underset{{x}} {\overset{{x}+\mathrm{1}} {\int}}\frac{\mathrm{1}}{{x}+\mathrm{3}}{dx} \\ $$ Commented by MJS last updated on…
Question Number 128956 by mathmax by abdo last updated on 11/Jan/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\pi} \:\frac{\mathrm{sin}\left(\mathrm{2x}\right)}{\mathrm{3}+\mathrm{cos}\left(\mathrm{4x}\right)}\mathrm{dx} \\ $$ Answered by chengulapetrom last updated on 11/Jan/21 $${cos}\mathrm{4}{x}=\mathrm{2}{cos}^{\mathrm{2}} \mathrm{2}{x}−\mathrm{1}…