Question Number 12377 by tawa last updated on 20/Apr/17 $$\int\:\:\frac{\sqrt{\mathrm{1}\:+\:\sqrt{\mathrm{x}}}}{\mathrm{x}}\:\:\mathrm{dx} \\ $$ Answered by mrW1 last updated on 21/Apr/17 $${t}^{\mathrm{2}} =\sqrt{{x}} \\ $$$${t}^{\mathrm{4}} ={x} \\…
Question Number 143443 by mnjuly1970 last updated on 14/Jun/21 Commented by amin96 last updated on 14/Jun/21 $$? \\ $$$$ \\ $$ Answered by mr W…
Question Number 77886 by mathmax by abdo last updated on 11/Jan/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} \:+{x}^{−\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} \:+{x}^{−\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+\mathrm{1}}{dx}…
Question Number 77887 by aliesam last updated on 11/Jan/20 $$\int\frac{{e}^{{sinh}\left({x}\right)} }{{cosh}\left({x}\right)}\:{dx} \\ $$ Answered by MJS last updated on 12/Jan/20 $$\int\frac{\mathrm{e}^{\mathrm{sinh}\:{x}} }{\mathrm{cosh}\:{x}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{sinh}\:{x}\:\rightarrow\:{dx}=\frac{\mathrm{1}}{\mathrm{cosh}\:{x}}\right] \\…
Question Number 77879 by aliesam last updated on 11/Jan/20 $$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{1}}{\:\sqrt{{x}^{\mathrm{3}} +\mathrm{5}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143399 by Ar Brandon last updated on 13/Jun/21 $$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \frac{\mathrm{dx}}{\left(\mathrm{1}−\mathrm{ksinx}\right)^{\mathrm{2}} } \\ $$ Answered by Ar Brandon last updated on 13/Jun/21 $$\mathrm{I}=\int_{\mathrm{0}}…
Question Number 12303 by Gaurav3651 last updated on 18/Apr/17 $${What}\:{is}\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\mid\mathrm{1}−{x}^{\mathrm{4}} \:\mid{dx}\:{equal}\:{to}? \\ $$$$\left({a}\right)\:\:−\mathrm{232}/\mathrm{5} \\ $$$$\left({b}\right)\:\:−\mathrm{116}/\mathrm{5} \\ $$$$\left({c}\right)\:\:\:\mathrm{116}/\mathrm{5} \\ $$$$\left({d}\right)\:\:\:\mathrm{232}/\mathrm{5} \\ $$ Answered by…
Question Number 12302 by Gaurav3651 last updated on 18/Apr/17 $${Let}\:{f}\left({x}\right)\:{be}\:{a}\:{function}\:{such}\:{that} \\ $$$${f}'\left(\mathrm{1}/{x}\right)+{x}^{\mathrm{3}} {f}'\left({x}\right)=\mathrm{0}. \\ $$$${What}\:{is}\:\underset{−\mathrm{1}} {\overset{\mathrm{1}} {\int}}{f}\left({x}\right){dx}\:{equal}\:{to}? \\ $$$$\left({a}\right)\:\:\mathrm{2}{f}\left(\mathrm{1}\right) \\ $$$$\left({b}\right)\:\:\mathrm{0} \\ $$$$\left({c}\right)\:\:\mathrm{2}{f}\left(−\mathrm{1}\right) \\ $$$$\left({d}\right)\:\:\mathrm{4}{f}\left(\mathrm{1}\right)…
Question Number 77816 by aliesam last updated on 10/Jan/20 $$\int{sin}\left({x}^{\mathrm{2}} \right)\:{sin}\left({x}\right)\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77817 by Dah Solu Tion last updated on 10/Jan/20 $$\int\frac{{dx}}{{x}^{\mathrm{3}} \left({x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{5}\right)^{\mathrm{4}} } \\ $$$$ \\ $$ Commented by mathmax by abdo last…