Question Number 73482 by abdomathmax last updated on 13/Nov/19 $${find}\:\int\:\:\:\:\frac{{dx}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}+\sqrt{{x}^{\mathrm{2}} \:+\mathrm{3}}} \\ $$ Commented by abdomathmax last updated on 17/Nov/19 $${let}\:{I}\:=\int\:\:\:\frac{{dx}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}+\sqrt{{x}^{\mathrm{2}} \:+\mathrm{3}}}\:\Rightarrow \\…
Question Number 73483 by abdomathmax last updated on 13/Nov/19 $${find}\:\int\:\:\:\:\frac{{dx}}{{x}+\mathrm{2}−\sqrt{{x}^{\mathrm{2}} −{x}\:+\mathrm{7}}} \\ $$ Answered by MJS last updated on 13/Nov/19 $$\int\frac{{dx}}{{x}+\mathrm{2}−\sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{7}}}=\int\frac{{dx}}{{x}+\mathrm{2}−\sqrt{\left({x}−\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} +\frac{\mathrm{27}}{\mathrm{4}}}}= \\ $$$$\:\:\:\:\:\left[{t}=\frac{\sqrt{\mathrm{3}}}{\mathrm{9}}\left(\mathrm{2}{x}−\mathrm{1}\right)\:\rightarrow\:{dx}=\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{2}}{dt}\right]…
Question Number 73480 by abdomathmax last updated on 13/Nov/19 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:{xe}^{−{x}^{\mathrm{2}} } \:{arcran}\left({x}+\frac{\mathrm{1}}{{x}}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7945 by Rasheed Soomro last updated on 25/Sep/16 Commented by Rasheed Soomro last updated on 25/Sep/16 $${In}\:{above}\:{figure}\:{AF}\:,{a}\:{diameter}\:{of}\:{the} \\ $$$${circle}\:{with}\:{centre}\:{G}\:{has}\:{been}\:{trisected} \\ $$$${at}\:{B}\:\&\:{D}\:\left({i}-{e}\:{AB}={BD}={DF}\right) \\ $$$${Is}\:{there}\:{any}\:{point}\:{H}\:{on}\:{the}\:{circle}\:{for}…
Question Number 73481 by abdomathmax last updated on 13/Nov/19 $${find}\:\int\:\:{ln}\left({x}−{cosx}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 139013 by ajfour last updated on 21/Apr/21 Answered by mr W last updated on 21/Apr/21 Commented by mr W last updated on 21/Apr/21…
Question Number 73478 by abdomathmax last updated on 13/Nov/19 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\:\frac{{x}^{\mathrm{3}} −\mathrm{3}}{\:\sqrt{{x}^{\mathrm{2}} −{x}\:+\mathrm{2}}}{dx} \\ $$ Answered by MJS last updated on 13/Nov/19 $$\int\frac{{x}^{\mathrm{3}} −\mathrm{3}}{\:\sqrt{{x}^{\mathrm{3}}…
Question Number 73479 by abdomathmax last updated on 13/Nov/19 $${find}\:\int\:\:\:\:\frac{\mathrm{3}{x}+\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} }{dx} \\ $$ Commented by abdomathmax last updated on 17/Nov/19 $${let}\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{3}{x}+\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\…
Question Number 139014 by BHOOPENDRA last updated on 21/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 73477 by abdomathmax last updated on 13/Nov/19 $${calculate}\:\int\:\:\:\frac{{x}^{\mathrm{3}} −\mathrm{4}{x}+\mathrm{5}}{{x}^{\mathrm{2}} −{x}\:+\mathrm{1}}{dx} \\ $$ Answered by MJS last updated on 13/Nov/19 $$\int\frac{{x}^{\mathrm{3}} −\mathrm{4}{x}+\mathrm{5}}{{x}^{\mathrm{2}} −{x}+\mathrm{1}}{dx}= \\…