Question Number 201509 by Calculusboy last updated on 07/Dec/23 Answered by witcher3 last updated on 09/Dec/23 $$\mathrm{tack}\:\mathrm{principal}\:\:\mathrm{definition}\:\mathrm{of}\:\mathrm{Log}\left(\mathrm{z}\right)=\mathrm{ln}\mid\mathrm{z}\mid+\mathrm{iarg}\left(\mathrm{z}\right) \\ $$$$\left.\mathrm{z}\in\right]−\frac{\pi}{\mathrm{2}},\frac{\mathrm{3}\pi}{\mathrm{2}}\left[\:\right. \\ $$$$\mathrm{ln}\left(\mathrm{ix}+\mathrm{ln}\left(\mathrm{cos}\left(\mathrm{x}\right)\right)=\mathrm{ln}\mid\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{ln}^{\mathrm{2}} \left(\mathrm{cos}\left(\mathrm{x}\right)\right.}\mid+\mathrm{i}\:\mathrm{arg}\left(\mathrm{ln}\left(\mathrm{cos}\left(\mathrm{x}\right)+\mathrm{ix}\right)\right.\right. \\ $$$$\mathrm{arg}\left(\mathrm{ln}\left(\mathrm{cos}\left(\mathrm{x}\right)+\mathrm{ix}\right)\in\left[\frac{\pi}{\mathrm{2}},\pi\left[\:\right.\right.\right.…
Question Number 201456 by Calculusboy last updated on 06/Dec/23 Answered by MathematicalUser2357 last updated on 04/Jan/24 $$? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 201452 by tri26112004 last updated on 06/Dec/23 Answered by Calculusboy last updated on 06/Dec/23 $$\int\boldsymbol{{x}}^{−\mathrm{2}} \boldsymbol{{e}}^{−\mathrm{4}\boldsymbol{{x}}} \boldsymbol{{dx}} \\ $$$$\boldsymbol{{Solution}}:\:\:\boldsymbol{{by}}\:\boldsymbol{{using}}\:\boldsymbol{{IBP}} \\ $$$$\boldsymbol{{let}}\:\boldsymbol{{u}}=\boldsymbol{{e}}^{−\mathrm{4}\boldsymbol{{x}}} \:\:\:\boldsymbol{{du}}=−\mathrm{4}\boldsymbol{{e}}^{−\mathrm{4}\boldsymbol{{x}}} \boldsymbol{{dx}}\:\:\boldsymbol{{dv}}=\boldsymbol{{x}}^{−\mathrm{2}}…
Question Number 201445 by emilagazade last updated on 06/Dec/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 201341 by mathlove last updated on 05/Dec/23 $${if}\:{a}>\mathrm{0}\:\:{and}\:\:{m}\geqslant\mathrm{0} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{{cos}\left({mx}\right)}{\left({x}^{\mathrm{2}} +{a}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx}=? \\ $$ Answered by Calculusboy last updated on…
Question Number 201347 by Calculusboy last updated on 05/Dec/23 Answered by MathematicalUser2357 last updated on 04/Jan/24 $$\mathrm{5}.\mathrm{38345} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 201281 by Calculusboy last updated on 03/Dec/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 201266 by Mathspace last updated on 02/Dec/23 $${calculate}\:\int_{\mathrm{1}} ^{\infty} \frac{{dx}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{3}} }} \\ $$ Answered by witcher3 last updated on 03/Dec/23 $$\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} }=\mathrm{y} \\…
Question Number 201267 by Mathspace last updated on 02/Dec/23 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{dx}}{\left(\mathrm{1}+{x}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} +\left({x}−\mathrm{1}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} } \\ $$ Commented by Frix last updated on 02/Dec/23 $$\mathrm{Question}\:\mathrm{201110} \\…
Question Number 201241 by Calculusboy last updated on 02/Dec/23 Terms of Service Privacy Policy Contact: info@tinkutara.com