Category: Integration

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 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 201281 by Calculusboy last updated on 03/Dec/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

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 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…