Question Number 203836 by patrice last updated on 29/Jan/24 Answered by Frix last updated on 30/Jan/24 $$\mathrm{In}\:\mathrm{3}\:\mathrm{steps}: \\ $$$$\mathrm{1}.\:{t}={x}^{\mathrm{2}} −\mathrm{1} \\ $$$$\mathrm{2}.\:{u}=\frac{\mathrm{5}{t}+\sqrt{\mathrm{25}{t}^{\mathrm{2}} +\mathrm{11}}}{\:\mathrm{11}} \\ $$$$\mathrm{3}.\:{v}=\frac{\sqrt{\mathrm{1}+{u}}}{\:\sqrt{\mathrm{1}−{u}}}\:\Rightarrow…
Question Number 203772 by Calculusboy last updated on 27/Jan/24 Answered by witcher3 last updated on 27/Jan/24 $$\mathrm{no}\:\mathrm{close}\:\mathrm{formes}\:\mathrm{just}\:\mathrm{series}\:\mathrm{or}\:\mathrm{aproximination} \\ $$ Commented by Calculusboy last updated on…
Question Number 203747 by patrice last updated on 27/Jan/24 Answered by esmaeil last updated on 27/Jan/24 $${I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{x}}{\mathrm{1}+{cosx}}{dx}+\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{sinx}}{\mathrm{1}+{cosx}}{dx} \\ $$$${x}={u}\rightarrow{dx}={du} \\ $$$$\frac{{dx}}{\mathrm{1}+{cosx}}={dv}\rightarrow{v}={tan}\frac{{x}}{\mathrm{2}}…
Question Number 203714 by K1000 last updated on 26/Jan/24 $$\int\mathrm{2}{x}^{\mathrm{2}} \\ $$ Answered by Frix last updated on 26/Jan/24 $$\int{ax}^{{n}} {dx}={a}\int{x}^{{n}} {dx}=\frac{{ax}^{{n}+\mathrm{1}} }{{n}+\mathrm{1}}+{C} \\ $$…
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Question Number 203564 by mnjuly1970 last updated on 22/Jan/24 $$ \\ $$$$\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}^{\:\mathrm{3}} \left({x}\right)}{{x}^{\:\mathrm{2}} }\:{dx}=\:?\:\:\:\:\: \\ $$ Answered by Mathspace last updated on 23/Jan/24…
Question Number 203385 by patrice last updated on 18/Jan/24 Answered by Mathspace last updated on 18/Jan/24 $${I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{dx}}{\mathrm{1}+{x}^{\mathrm{3}} }\:\Rightarrow{I}=\int_{\mathrm{0}} ^{\mathrm{1}} \sum_{{n}=\mathrm{0}} ^{\infty} \left(−\mathrm{1}\right)^{{n}} {x}^{\mathrm{3}{n}}…
Question Number 203349 by Mathspace last updated on 17/Jan/24 $${calculate}\:\int\int_{\left[\mathrm{0},{a}\right]^{\mathrm{2}} } \:{e}^{−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} } {dxdy} \\ $$$${can}\:{you}\:{find}\:\int_{\mathrm{0}} ^{{a}} {e}^{−{x}^{\mathrm{2}} } {dx}\:\:\:\:? \\ $$$${a}>\mathrm{0} \\ $$…
Question Number 203186 by lorance last updated on 11/Jan/24 $${f}\left({x}\right)=\left\{_{\mathrm{2}\:\:\:\:\:\:\:\:{x}=\mathrm{1}} ^{\mathrm{7}\:\:\:\:\:\:\:\:{x}\neq\mathrm{1}\:\:\:\:\:} \Rightarrow\:\int_{\mathrm{0}} ^{\:\mathrm{4}} {f}\left({x}\right){dx}=?\right. \\ $$ Answered by mr W last updated on 12/Jan/24 $$\int_{\mathrm{0}}…
Question Number 203047 by emilagazade last updated on 08/Jan/24 Terms of Service Privacy Policy Contact: info@tinkutara.com