Question Number 89511 by M±th+et£s last updated on 17/Apr/20 $$\int_{\mathrm{0}} ^{\mathrm{3}\pi} \sqrt{\mathrm{1}+{sin}^{\mathrm{4}} \frac{\theta}{\mathrm{3}}\:{cos}^{\mathrm{2}} \frac{\theta}{\mathrm{3}}}\:{d}\theta \\ $$ Commented by mr W last updated on 17/Apr/20 $${please}\:{go}\:{to}\:{Q}\mathrm{89482}\:{and}\:{report}\:{that}…
Question Number 89489 by cindiaulia last updated on 17/Apr/20 $$\int_{−\mathrm{1}} ^{\mathrm{4}} \mathrm{x}\sqrt{×+\mathrm{5}\:}\mathrm{dx} \\ $$ Commented by M±th+et£s last updated on 17/Apr/20 $${let}\:{x}+\mathrm{5}={u}\:\:{x}={u}−\mathrm{5}\:\:\:\:{du}={dx} \\ $$$$\int_{−\mathrm{1}} ^{\mathrm{4}}…
Question Number 89487 by cindiaulia last updated on 17/Apr/20 $$\int_{−\mathrm{1}} ^{\mathrm{3}} \frac{\mathrm{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{x}+\mathrm{2}}}\:\mathrm{dx} \\ $$ Commented by niroj last updated on 17/Apr/20 $$\:\int_{−\mathrm{1}} ^{\:\mathrm{3}} \:\frac{\:\mathrm{x}^{\mathrm{2}}…
Question Number 155013 by amin96 last updated on 24/Sep/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(−{lnx}\right)\frac{{x}^{\mu−\mathrm{1}} }{\:\sqrt{−{ln}\left({x}\right)}}{dx}=? \\ $$ Answered by mnjuly1970 last updated on 24/Sep/21 $$\:\:\:−{ln}\left({x}\right)={t}^{\:\mathrm{2}} \:\Rightarrow\:{x}={e}^{\:−{t}^{\mathrm{2}} }…
Question Number 155016 by ArielVyny last updated on 24/Sep/21 $$\int_{\mathrm{0}} ^{\infty} {tan}^{\mathrm{2}} {u}\left(\mathrm{1}−\frac{\mathrm{1}}{\left({u}+\mathrm{1}\right)^{\mathrm{2}} }\right){du} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 89425 by M±th+et£s last updated on 17/Apr/20 $$\int_{\mathrm{1}} ^{\mathrm{4}} \sqrt{\mathrm{1}+\left(\frac{{y}^{\mathrm{3}} }{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{2}}{y}^{−\mathrm{1}} \right)^{\mathrm{2}} }\:{dy} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 154928 by qaz last updated on 23/Sep/21 $$\mathrm{Prove}::\:\:\:\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{m}} {\sum}}\begin{pmatrix}{\mathrm{m}}\\{\mathrm{k}}\end{pmatrix}^{\mathrm{2}} \begin{pmatrix}{\mathrm{n}+\mathrm{2m}−\mathrm{k}}\\{\:\:\:\:\:\:\mathrm{2m}}\end{pmatrix}=\begin{pmatrix}{\mathrm{m}+\mathrm{n}}\\{\:\:\:\:\mathrm{n}}\end{pmatrix}^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 154927 by physicstutes last updated on 23/Sep/21 $$\mathrm{Let}\:{I}_{{n}} =\int{x}^{{n}} {e}^{−{x}} {dx} \\ $$$$\mathrm{show}\:\mathrm{that}\: \\ $$$$\int_{\mathrm{0}} ^{\infty} {x}^{{n}} {e}^{−{x}} {dx}={n}! \\ $$ Answered by…
Question Number 154926 by physicstutes last updated on 23/Sep/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{2}{x}^{\mathrm{2}} }{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx}= \\ $$ Answered by qaz last updated on 23/Sep/21 $$\int_{\mathrm{0}}…
Question Number 23849 by Sudipta Jana last updated on 08/Nov/17 $$\int\frac{{x}^{\mathrm{6}} +\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}{dx} \\ $$ Answered by anunil1234 last updated on 08/Nov/17 $$\int\left(\mathrm{x}^{\mathrm{2}} \:+\frac{\left(−\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)}{\mathrm{x}^{\mathrm{4}}…