Question Number 163072 by abdullahhhhh last updated on 03/Jan/22 $$\int\frac{\boldsymbol{\mathrm{sinx}}+\boldsymbol{\mathrm{sin}}\mathrm{3}\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{sin}}\mathrm{5}\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{sin}}\mathrm{7}\boldsymbol{\mathrm{x}}}{\boldsymbol{\mathrm{cosx}}+\boldsymbol{\mathrm{cos}}\mathrm{3}\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{cos}}\mathrm{5}\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{cos}}\mathrm{7}\boldsymbol{\mathrm{x}}}\:\boldsymbol{\mathrm{dx}} \\ $$ Answered by tounghoungko last updated on 03/Jan/22 $$\:\frac{\mathrm{sin}\:\mathrm{7}{x}+\mathrm{sin}\:{x}+\mathrm{sin}\:\mathrm{5}{x}+\mathrm{sin}\:\mathrm{3}{x}}{\mathrm{cos}\:\mathrm{7}{x}+\mathrm{cos}\:{x}+\mathrm{cos}\:\mathrm{5}{x}+\mathrm{cos}\:\mathrm{3}{x}}\: \\ $$$$\:=\:\frac{\mathrm{2sin}\:\mathrm{4}{x}\:\mathrm{cos}\:\mathrm{3}{x}+\mathrm{2sin}\:\mathrm{4}{x}\:\mathrm{cos}\:{x}}{\mathrm{2cos}\:\mathrm{4}{x}\:\mathrm{cos}\:\mathrm{3}{x}+\mathrm{2cos}\:\mathrm{4}{x}\:\mathrm{cos}\:{x}} \\ $$$$=\:\frac{\mathrm{sin}\:\mathrm{4}{x}}{\mathrm{cos}\:\mathrm{4}{x}} \\…
Question Number 97537 by M±th+et+s last updated on 08/Jun/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{−\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{\left({yx}^{\mathrm{3}} +{x}^{\mathrm{2}} −{yx}−\mathrm{1}\right)}{dx} \\ $$ Answered by smridha last updated on 08/Jun/20 $$\int_{\mathrm{0}}…
Question Number 97526 by student work last updated on 08/Jun/20 $$\int\frac{\mathrm{dx}}{\mathrm{1}+\mathrm{sin}\:\mathrm{x}}=? \\ $$ Commented by bobhans last updated on 08/Jun/20 $$\frac{\mathrm{1}}{\mathrm{1}+\mathrm{sin}\:\mathrm{x}}×\frac{\mathrm{1}−\mathrm{sin}\:\mathrm{x}}{\mathrm{1}−\mathrm{sin}\:\mathrm{x}}\:=\:\frac{\mathrm{1}−\mathrm{sin}\:\mathrm{x}}{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}} \\ $$$$\int\:\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}−\mathrm{sec}\:\mathrm{x}\:\mathrm{tan}\:\mathrm{x}\:\mathrm{dx}\:=\:\mathrm{tan}\:\mathrm{x}−\mathrm{sec}\:\mathrm{x}\:+\:\mathrm{c}…
Question Number 97531 by 281981 last updated on 08/Jun/20 $$\mathrm{5050}\frac{\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{1}−{x}^{\mathrm{50}} \right)^{\mathrm{100}} {dx}}{\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{1}−{x}^{\mathrm{50}} \right)^{\mathrm{101}} {dx}}= \\ $$ Answered by smridha last updated…
Question Number 97527 by student work last updated on 08/Jun/20 $$\int\frac{\mathrm{xdx}}{\mathrm{x}!}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31974 by abdo imad last updated on 17/Mar/18 $$\left.\mathrm{1}\right){find}\:{I}\left({p},{q}\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{t}^{{p}} \:\left(\mathrm{1}−{t}\right)^{{q}} \:{dt}\:\:{with}\:{pand}\:{q}\:{integrs} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{nature}\:{of}\:\Sigma\:\:{I}_{\left({n},{n}\right)} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 31970 by abdo imad last updated on 17/Mar/18 $${find}\:{the}\:{nature}\:{of}\:\:\int_{\mathrm{2}} ^{\infty} \:\:\frac{{e}^{−{x}} }{\:\sqrt{{x}^{\mathrm{2}} \:−\mathrm{4}}}\:{dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31969 by abdo imad last updated on 17/Mar/18 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\left(\frac{\mathrm{1}+{t}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{4}} }\right){arctant}\:{dt}. \\ $$ Commented by abdo imad last updated on 19/Mar/18…
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Question Number 31968 by abdo imad last updated on 17/Mar/18 $${find}\:\:\:\int_{\mathrm{2}} ^{\sqrt{\mathrm{5}}} {x}\sqrt{\left({x}−\mathrm{2}\right)\left(\sqrt{\mathrm{5}}−{x}\right)}\:{dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com