Question Number 201228 by Calculusboy last updated on 02/Dec/23 $$\int\sqrt{\boldsymbol{{x}}+\sqrt{\boldsymbol{{x}}+\sqrt{\boldsymbol{{x}}}}}\:\boldsymbol{{dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 201229 by Calculusboy last updated on 02/Dec/23 $$\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\boldsymbol{{Inx}}}}\boldsymbol{{dx}} \\ $$ Commented by mnjuly1970 last updated on 02/Dec/23 $${In}\left({x}\right)\:{or}\:\:\mathrm{L}{n}\left({x}\right)=? \\ $$ Commented by Calculusboy…
Question Number 201224 by Calculusboy last updated on 02/Dec/23 $$\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\boldsymbol{{sinx}}}}\boldsymbol{{dx}} \\ $$ Answered by witcher3 last updated on 02/Dec/23 $$\sqrt{\mathrm{1}+\mathrm{sin}\left(\mathrm{x}\right)}=\mathrm{hint}\::\mid\mathrm{sin}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)+\mathrm{cos}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\mid \\ $$ Answered by Sutrisno…
Question Number 201227 by Calculusboy last updated on 02/Dec/23 $$\:\int\:\frac{\left(\boldsymbol{{x}}^{\mathrm{4}} +\boldsymbol{{x}}^{\mathrm{7}} \right)^{\frac{\mathrm{1}}{\mathrm{4}}} }{\boldsymbol{{x}}^{\mathrm{2}} }\boldsymbol{{dx}} \\ $$ Answered by Sutrisno last updated on 04/Dec/23 $$\:=\int\:\frac{\left(\boldsymbol{{x}}^{\mathrm{4}} \left(\mathrm{1}+\boldsymbol{{x}}^{\mathrm{3}}…
Question Number 201221 by Calculusboy last updated on 02/Dec/23 Answered by MM42 last updated on 02/Dec/23 $$\bigstar\bigstar\bigstar\:\:{tan}^{−\mathrm{1}} {a}−{tan}^{−\mathrm{1}} {b}={tan}^{−\mathrm{1}} \left(\frac{{a}−{b}}{\mathrm{1}+{ab}}\right) \\ $$$$\Rightarrow{tan}^{−\mathrm{1}} \left(\frac{{x}+\mathrm{1}}{{x}+\mathrm{2}}\right)−{tan}^{−\mathrm{1}} \left(\frac{{x}}{{x}+\mathrm{2}}\right)={tan}^{−\mathrm{1}} \left(\frac{{x}+\mathrm{2}}{\mathrm{2}{x}^{\mathrm{2}}…
Question Number 201222 by Calculusboy last updated on 02/Dec/23 $$\:\int\:\left(\boldsymbol{{x}}^{\mathrm{6}} +\boldsymbol{{x}}^{\mathrm{9}} \right)^{\frac{\mathrm{1}}{\mathrm{6}}} \boldsymbol{{dx}} \\ $$ Answered by MathematicalUser2357 last updated on 04/Jan/24 $$\mathrm{A}\:\mathrm{function}\:\mathrm{that}\:\mathrm{contains}\:_{\mathrm{2}} {F}_{\mathrm{1}} \\…
Question Number 201223 by Calculusboy last updated on 02/Dec/23 $$\int\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\boldsymbol{{x}}}}\:\boldsymbol{{dx}} \\ $$ Answered by witcher3 last updated on 02/Dec/23 $$=\int\mathrm{2}\sqrt{\mathrm{1}+\mathrm{x}+\sqrt{\mathrm{1}+\mathrm{x}}}.\frac{\mathrm{dx}}{\mathrm{2}\:\sqrt{\mathrm{1}+\mathrm{x}}} \\ $$$$=\mathrm{2}\int\sqrt{\mathrm{t}^{\mathrm{2}} +\mathrm{t}}\mathrm{dt} \\ $$$$\Leftrightarrow\int\mathrm{2}\sqrt{\left(\mathrm{t}+\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}}…
Question Number 201172 by Calculusboy last updated on 01/Dec/23 Answered by Sutrisno last updated on 01/Dec/23 $$=\int\frac{\mathrm{2}{e}^{\mathrm{2}{x}} −{e}^{{x}} }{\:\sqrt{\mathrm{3}\left({e}^{\mathrm{2}{x}} −\mathrm{2}{e}^{{x}} −\frac{\mathrm{1}}{\mathrm{3}}\right)}}{dx} \\ $$$$=\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\int\frac{\mathrm{2}{e}^{\mathrm{2}{x}} −{e}^{{x}} }{\:\sqrt{\left({e}^{{x}}…
Question Number 201200 by Calculusboy last updated on 01/Dec/23 Commented by Rasheed.Sindhi last updated on 02/Dec/23 $$\left(\:\left({x}−\mathrm{1}\right)^{{x}−\mathrm{1}} \:\right)^{\mathrm{1}/\mathrm{3}} =\left({x}−\mathrm{1}\right)^{\left({x}−\mathrm{1}\right)^{\mathrm{1}/\mathrm{3}} } \\ $$ Commented by Rasheed.Sindhi…
Question Number 201196 by Euclid last updated on 01/Dec/23 Terms of Service Privacy Policy Contact: info@tinkutara.com