Question Number 69603 by Mikael last updated on 25/Sep/19 $$\int\:{x}^{\mathrm{3}} {arcsinxdx} \\ $$ Answered by MJS last updated on 25/Sep/19 $$\mathrm{by}\:\mathrm{parts} \\ $$$$\int{u}'{v}={uv}−\int{uv}' \\ $$$${u}'={x}^{\mathrm{3}}…
Question Number 69573 by Ajao yinka last updated on 25/Sep/19 Commented by mind is power last updated on 25/Sep/19 $${i}\:{will}\:{try}\:{later}\:{now}\:{nothing}\:{goes}\:{wellfor}\:{this}\:{one} \\ $$ Terms of Service…
Question Number 69570 by Ajao yinka last updated on 25/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69566 by Ajao yinka last updated on 25/Sep/19 Answered by mind is power last updated on 25/Sep/19 $$=\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\sum_{{k}=\mathrm{0}} ^{{x}} \int_{{k}} ^{{k}+\mathrm{1}} \left({x}−{k}\right)^{{k}}…
Question Number 135103 by frc2crc last updated on 10/Mar/21 $${f}\left({x}\right)=\mathrm{1}+\underset{{n}=\mathrm{2}} {\overset{\infty} {\sum}}\frac{\left(−{x}\right)^{{n}} }{{n}} \\ $$ Commented by Dwaipayan Shikari last updated on 10/Mar/21 $$\mathrm{1}−\left(−\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+\frac{{x}^{\mathrm{3}}…
Question Number 69565 by Ajao yinka last updated on 25/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69564 by mathmax by abdo last updated on 25/Sep/19 $${let}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{{x}^{\mathrm{4}} −\mathrm{2}{x}^{\mathrm{2}} \:+{a}}\:\:\:{with}\:{a}\:{real}\:{and}\:{a}>\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:\:{calculate}\:{g}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{4}} −\mathrm{2}{x}^{\mathrm{2}} +{a}\right)^{\mathrm{2}} }…
Question Number 69563 by mathmax by abdo last updated on 25/Sep/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{{x}^{\mathrm{4}} −{x}^{\mathrm{2}} \:+\mathrm{1}} \\ $$ Commented by mathmax by abdo last updated…
Question Number 3988 by Filup last updated on 26/Dec/15 $${S}=\int_{−\infty} ^{\:\mathrm{0}} \left[\mathrm{sin}\left({e}^{{x}} \right)\:\mathrm{cos}\left({e}^{−{x}} \right)\right]{dx} \\ $$$$ \\ $$$$\left(\mathrm{1}\right)\:\:\:\mathrm{Solve}\:{S} \\ $$$$ \\ $$$$\mathrm{Also},\:\mathrm{Does}: \\ $$$$\left(\mathrm{2}\right)\:\:\:\int_{\mathrm{0}} ^{\:\infty}…
Question Number 135062 by liberty last updated on 09/Mar/21 $$\mathrm{Let}\:\mathrm{f}\left(\mathrm{0}\right)\:=\:\mathrm{a}\:;\:\mathrm{f}\left(\mathrm{3}\right)=\mathrm{0}\:\mathrm{and}\:\mathrm{f}\:'\left(\mathrm{x}\right)=\mathrm{e}^{\mathrm{x}^{\mathrm{4}} } \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\int_{\mathrm{0}} ^{\:\mathrm{3}} \mathrm{x}^{\mathrm{2}} \:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}\:? \\ $$ Answered by john_santu last updated on 10/Mar/21…