Question Number 76955 by behi83417@gmail.com last updated on 01/Jan/20 $$\int\:\:\frac{\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{p}}} }{\:\sqrt{\mathrm{1}\pm\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{q}}} }}\:\boldsymbol{\mathrm{dx}}=?\:\:\:\:\left[\boldsymbol{\mathrm{p}}+\boldsymbol{\mathrm{q}}=\mathrm{2}\boldsymbol{\mathrm{n}}\in\boldsymbol{\mathrm{N}},\boldsymbol{\mathrm{p}}<\boldsymbol{\mathrm{q}}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142488 by rs4089 last updated on 01/Jun/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{t}^{{k}−\mathrm{1}} }{\mathrm{1}+{t}^{\mathrm{2}} }{dt} \\ $$ Answered by Ar Brandon last updated on 01/Jun/21 $$\Phi=\int_{\mathrm{0}}…
Question Number 11406 by tawa last updated on 24/Mar/17 $$\mathrm{Evaluate}:\:\:\:\:\:\:\:\int_{\:\mathrm{1}} ^{\:\mathrm{3}} \:\:\frac{\mathrm{x}\:−\:\mathrm{1}}{\left(\mathrm{x}\:+\:\mathrm{1}\right)^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Answered by sm3l2996 last updated on 24/Mar/17 $$\frac{\mathrm{x}−\mathrm{1}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }=\frac{\mathrm{a}}{\mathrm{x}+\mathrm{1}}+\frac{\mathrm{b}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }…
Question Number 142469 by mnjuly1970 last updated on 01/Jun/21 $$\:\:\:\:\:\:\:\:\:\:\:\:……\:\:{Calculus}\:….. \\ $$$$\:\:\:\:{Evaluate}:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \left(\frac{{log}\left(\frac{\mathrm{1}}{{x}}\right)}{\mathrm{1}−{x}}\right)^{\mathrm{3}} {dx}=?? \\ $$ Answered by mindispower last updated on 01/Jun/21 $$=−\int_{\mathrm{0}}…
Question Number 142475 by cherokeesay last updated on 01/Jun/21 Answered by qaz last updated on 01/Jun/21 $$\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)+\mathrm{x}^{\mathrm{2}} \mathrm{f}\left(\mathrm{x}\right)=\mathrm{0} \\ $$$$\Rightarrow\mathrm{f}\left(\mathrm{x}\right)+\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)=\mathrm{0} \\ $$$$\mathrm{I}=\int_{\frac{\mathrm{1}}{\mathrm{x}}} ^{\mathrm{x}} \mathrm{f}\left(\mathrm{t}\right)\mathrm{dt}=\int_{\mathrm{x}}…
Question Number 142461 by bramlexs22 last updated on 01/Jun/21 Commented by qaz last updated on 01/Jun/21 $$\mathrm{S}_{\mathrm{1}} =\int_{\mathrm{0}} ^{\mathrm{a}_{\mathrm{1}} } \left(\mathrm{c}−\mathrm{8x}+\mathrm{27x}^{\mathrm{3}} \right)\mathrm{dx}=\mathrm{a}_{\mathrm{1}} \mathrm{c}−\mathrm{4a}_{\mathrm{1}} ^{\mathrm{2}} +\frac{\mathrm{27}}{\mathrm{4}}\mathrm{a}_{\mathrm{1}}…
Question Number 142457 by ajfour last updated on 01/Jun/21 $$\:{I}=\int\frac{{dx}}{\:\sqrt{{a}^{\mathrm{2}} −\left({x}+\frac{\mathrm{1}}{{x}}\right)}} \\ $$ Answered by MJS_new last updated on 01/Jun/21 $$\mathrm{I}'\mathrm{m}\:\mathrm{afraid}\:\mathrm{you}'\mathrm{re}\:\mathrm{ending}\:\mathrm{on}\:\mathrm{elliptic}\:\mathrm{functions} \\ $$$$\mathrm{again}. \\ $$$$\mathrm{my}\:\mathrm{try}:…
Question Number 76920 by jagoll last updated on 01/Jan/20 $${how}\:{can}\:{i}\:{solve}\: \\ $$$$\int\:\frac{\mathrm{sin}\:{x}\:{dx}}{{x}^{\mathrm{2}} \:{e}^{{x}} }\:?\:{can}\:{using}\:{elementary} \\ $$$${calculus}? \\ $$ Commented by MJS last updated on 01/Jan/20…
Question Number 76913 by Ajao yinka last updated on 31/Dec/19 Answered by ~blr237~ last updated on 01/Jan/20 $$\mathrm{let}\:\mathrm{it}\:\mathrm{be}\:\mathrm{A} \\ $$$$\mathrm{1}+\mathrm{x}+….+\mathrm{x}^{\mathrm{100}} =\frac{\mathrm{1}−\mathrm{x}^{\mathrm{101}} }{\mathrm{1}−\mathrm{x}} \\ $$$$\mathrm{A}=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 76910 by aliesam last updated on 31/Dec/19 Commented by MJS last updated on 31/Dec/19 $${x}^{\mathrm{6}} +\mathrm{1}=\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +\sqrt{\mathrm{3}}{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\sqrt{\mathrm{3}}{x}+\mathrm{1}\right) \\ $$ Answered by…