Question Number 144499 by mathmax by abdo last updated on 25/Jun/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{n}} \right)}{\mathrm{x}^{\mathrm{n}} }\mathrm{dx}\:\:\:\left(\mathrm{n}\geqslant\mathrm{2}\right)\:\mathrm{natural} \\ $$ Answered by mindispower last updated on 27/Jun/21…
Question Number 144464 by mathmax by abdo last updated on 25/Jun/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{2}}{\left(\mathrm{1}+\mathrm{sinx}\right)^{\mathrm{2}} } \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 78827 by jagoll last updated on 21/Jan/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{inverse}\:\:\mathrm{function} \\ $$$$\mathrm{of}\:\mathrm{y}=\:\frac{\mathrm{5x}^{\mathrm{5}} −\mathrm{3x}^{\mathrm{3}} +\mathrm{x}}{\mathrm{4x}^{\mathrm{4}} −\mathrm{2x}^{\mathrm{2}} +\mathrm{1}} \\ $$ Commented by mr W last updated on…
Question Number 13281 by Tinkutara last updated on 17/May/17 $$\mathrm{Let}\:{f}\left({x}\right)\:=\:\begin{cases}{\mathrm{1}\:+\:{x},\:\mathrm{0}\:\leqslant\:{x}\:\leqslant\:\mathrm{2}}\\{\mathrm{3}\:−\:{x},\:\mathrm{2}\:<\:{x}\:\leqslant\:\mathrm{3}}\end{cases}\:.\:\mathrm{Find}\:{fof}. \\ $$ Answered by ajfour last updated on 17/May/17 Commented by ajfour last updated on…
Question Number 13283 by Tinkutara last updated on 17/May/17 $$\mathrm{If}\:{f}\::\:{A}\:\rightarrow\:{B}\:\mathrm{given}\:\mathrm{by}\:\mathrm{3}^{{f}\left({x}\right)} \:+\:\mathrm{2}^{−{x}} \:=\:\mathrm{4}\:\mathrm{is} \\ $$$$\mathrm{a}\:\mathrm{bijection},\:\mathrm{then}\:\mathrm{find}\:{A}\:\mathrm{and}\:{B}\:\mathrm{if}\:\mathrm{possible}. \\ $$ Answered by 433 last updated on 17/May/17 $${f}\left({A}\right)={B} \\…
Question Number 144241 by mathmax by abdo last updated on 23/Jun/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\mathrm{4}\pi} \:\frac{\mathrm{dx}}{\left(\mathrm{2}+\mathrm{cosx}\right)^{\mathrm{2}} } \\ $$ Answered by Ar Brandon last updated on 05/Jul/21…
Question Number 144221 by Mathspace last updated on 23/Jun/21 $${find}\:\int_{\mathrm{0}} ^{\infty} {e}^{−\mathrm{3}{x}} {log}^{\mathrm{2}} \left(\mathrm{1}+{e}^{\mathrm{2}{x}} \right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 144220 by Mathspace last updated on 23/Jun/21 $${find}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:{arctan}\left({x}^{{n}} \right){dx} \\ $$$${n}\:\in{N} \\ $$ Answered by mathmax by abdo last updated…
Question Number 144217 by Mathspace last updated on 23/Jun/21 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{x}^{\mathrm{2}} }{\left({x}+\mathrm{2}\right)^{\mathrm{5}} \left(\mathrm{3}{x}+\mathrm{1}\right)^{\mathrm{4}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 78685 by berket last updated on 19/Jan/20 $${is}\:{g}\:=\left\{\left(\mathrm{1}.\:\mathrm{1}\right).\left(\mathrm{2}.\mathrm{3}\right).\left(\mathrm{3}\:.\mathrm{5}\right).\left(\mathrm{4}.\mathrm{7}\right)\right\}\:{a}\:{function}?\:{justify}\:{if}\:{this}\:{is}\:{described}\:{by}\:{the}\:{relation}\:{g}\left({x}\right)={ax}+{b}\:{then}\:{what}\:{values}\:{should}\:{be}\:{assigned}\:{to}\:{a}\:{and}\:{b}\:? \\ $$ Commented by mr W last updated on 19/Jan/20 $${sir}:\:{please}\:{don}'{t}\:{type}\:{the}\:{whole}\:{post}\:{in} \\ $$$${one}\:{single}\:{line}!\:{it}'{s}\:{terrible}\:{to}\:{read}! \\ $$…