Question Number 143892 by mathmax by abdo last updated on 19/Jun/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{cos}^{\mathrm{4}} \left(\mathrm{2x}\right)}{\left(\mathrm{x}^{\mathrm{4}} \:−\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy…
Question Number 143889 by mnjuly1970 last updated on 19/Jun/21 $$ \\ $$$$\:\:\:\:\:\:{A}\:\:{Challanging}\:\:{Integral}: \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\Phi\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{{log}\left({x}\right).{log}\left(\mathrm{1}+{x}\right)}{\mathrm{1}−{x}}{dx} \\ $$$$ \\ $$$$ \\ $$ Answered…
Question Number 12804 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 01/May/17 Commented by tawa last updated on 01/May/17 Commented by tawa last updated on 01/May/17 Commented by…
Question Number 78334 by john santu last updated on 16/Jan/20 $$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\:\left[\mathrm{cos}\:^{\mathrm{2}} \left(\mathrm{cos}\:{x}\right)+\mathrm{sin}^{\mathrm{2}} \:\left(\mathrm{sin}\:{x}\right)\:\right]\:{dx} \\ $$ Commented by MJS last updated on 16/Jan/20 $$\mathrm{we}\:\mathrm{cannot}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{integral}\:\mathrm{but}\:\mathrm{we}\:\mathrm{can}…
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Question Number 78305 by yorel freddy last updated on 15/Jan/20 $$\overset{\hat {\infty}} {\int}\mathrm{5646778727711}=\mathrm{778888877}−\left\{\mathrm{116567}×\mathrm{622}−\left[\mathrm{66262}−\mathrm{712}\right]\mathrm{66666}\right\} \\ $$$$ \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 12766 by Joel577 last updated on 01/May/17 $$\int\:\frac{{dx}}{\mathrm{1}\:+\:\mathrm{tan}\:{x}} \\ $$ Answered by sma3l2996 last updated on 01/May/17 $${t}={tanx}\Rightarrow{dt}=\left(\mathrm{1}+{tan}^{\mathrm{2}} {x}\right){dx} \\ $$$${dx}=\frac{{dt}}{\mathrm{1}+{t}^{\mathrm{2}} } \\…
Question Number 12768 by Joel577 last updated on 01/May/17 $$\int\:\frac{\mathrm{sec}\:{x}}{\mathrm{tan}^{\mathrm{2}} \:{x}}\:{dx} \\ $$ Answered by prakash jain last updated on 01/May/17 $$\int\:\frac{\mathrm{sec}\:{x}\centerdot\mathrm{cos}^{\mathrm{2}} {x}}{\mathrm{sin}^{\mathrm{2}} {x}}\:\mathrm{d}{x} \\…
Question Number 12753 by frank ntulah last updated on 30/Apr/17 $${evaluate}\:\int\sqrt{\left(\mathrm{sin}\:{x}\right)}{dx} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 01/May/17 Terms of Service Privacy Policy…
Question Number 78284 by msup trace by abdo last updated on 15/Jan/20 $${calculate}\:\int\int_{{D}} {xy}\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{y}^{\mathrm{2}} }{dxdy} \\ $$$${D}=\left\{\left({x},{y}\right)/\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\:{and}\:\mathrm{0}\leqslant{y}\leqslant\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right\} \\ $$ Commented by abdomathmax last…