Question Number 45165 by Tinkutara last updated on 09/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 10/Oct/18 $$\int\frac{{sin}\mathrm{5}{x}\left(\mathrm{2}{cos}\frac{\mathrm{15}{x}}{\mathrm{2}}.{cos}\frac{\mathrm{3}{x}}{\mathrm{2}}\right)}{{sin}\mathrm{5}{x}−{sin}\mathrm{10}{x}}{dx} \\ $$$$\int\frac{\mathrm{2}{sin}\frac{\mathrm{5}{x}}{\mathrm{2}}{cos}\frac{\mathrm{5}{x}}{\mathrm{2}}\left(\mathrm{2}{cos}\frac{\mathrm{15}{x}}{\mathrm{2}}{cos}\frac{\mathrm{3}{x}}{\mathrm{2}}\right)}{−\mathrm{2}{cos}\frac{\mathrm{15}{x}}{\mathrm{2}}.{sin}\frac{\mathrm{5}{x}}{\mathrm{2}}}{dx} \\ $$$$=−\int\mathrm{2}{cos}\frac{\mathrm{5}{x}}{\mathrm{2}}.{cos}\frac{\mathrm{3}{x}}{\mathrm{2}}{dx} \\ $$$$=−\int{cos}\mathrm{4}{x}+{cosx}\:\:\:{dx} \\ $$$$=−\left(\frac{{sin}\mathrm{4}{x}}{\mathrm{4}}+{sinx}\right)+{c}…
Question Number 45155 by rahul 19 last updated on 09/Oct/18 Commented by rahul 19 last updated on 09/Oct/18 $${It}'{s}\:{a}\:{very}\:{beautiful}\:{Ques}…. \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
Question Number 45158 by rahul 19 last updated on 09/Oct/18 $$\:\:\int\frac{{e}^{\mathrm{2}{x}} −{e}^{{x}} +\mathrm{1}}{\left({e}^{{x}} {sinx}+{cosx}\right)\left({e}^{{x}} {cosx}−{sinx}\right)}{dx}\:=? \\ $$ Commented by Meritguide1234 last updated on 10/Oct/18 Terms…
Question Number 45151 by Tinkutara last updated on 09/Oct/18 Commented by Meritguide1234 last updated on 10/Oct/18 Commented by Tinkutara last updated on 10/Oct/18 Thank you very much Sir! I got the answer. �������� Terms…
Question Number 45128 by Necxx last updated on 09/Oct/18 Commented by Necxx last updated on 09/Oct/18 $${please}\:{help}\:{with}\:{the}\:{last}\:{question}_{} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…
Question Number 45117 by rahul 19 last updated on 09/Oct/18 $${Prove}\:{that}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{x}^{{a}} −\mathrm{1}}{\mathrm{log}\:{x}}\:{dx}\:=\:\mathrm{log}\:\left({a}+\mathrm{1}\right). \\ $$ Commented by maxmathsup by imad last updated on 09/Oct/18…
Question Number 176188 by gloriousman last updated on 14/Sep/22 $$ \\ $$$$\underset{\:\sqrt{\mathrm{2}}} {\overset{\mathrm{2}} {\int}}\frac{\mathrm{sec}^{\mathrm{2}} \left(\mathrm{sec}^{−\mathrm{1}} \mathrm{x}\right)}{\mathrm{x}\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}} \\ $$$$ \\ $$ Answered by BaliramKumar last…
Question Number 176187 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{dy}}{\mathrm{tan}^{−\mathrm{1}} \mathrm{y}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)} \\ $$ Answered by BaliramKumar last updated on 14/Sep/22 $$\int\frac{\mathrm{dy}}{\mathrm{tan}^{−\mathrm{1}} \mathrm{y}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)} \\…
Question Number 176185 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{e}^{\mathrm{sin}^{−\mathrm{1}} \mathrm{x}} }{\:\sqrt{\mathrm{1}−\mathrm{x}_{} ^{\mathrm{2}} }}\:\mathrm{dx} \\ $$ Commented by leodera last updated on 14/Sep/22 $$\int\frac{{e}^{\mathrm{sin}^{−\mathrm{1}} \mathrm{x}}…
Question Number 176180 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}}} \\ $$$$ \\ $$ Answered by Ar Brandon last updated on 14/Sep/22 $${I}=\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}}}=\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{\left({x}+\mathrm{1}\right)^{\mathrm{2}}…