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Category: Integration

Question-7096

Question Number 7096 by Tawakalitu. last updated on 10/Aug/16 Commented by Rasheed Soomro last updated on 10/Aug/16 $${First}\:{vertex}\:{of}\:{a}\:{triangle}\:{can}\:{be} \\ $$$${chosen}\:{in}\:{n}\:{ways}\:{in}\:{a}\:{regular}\:{n}-{gon}. \\ $$$${The}\:{second}\:{vertex}\:{can}\:{be}\:{chosen}\:{in} \\ $$$${n}−\mathrm{1}\:{ways}.\:{The}\:{third}\:{vertex}\:{can}\:{be}\: \\…

nice-calculus-prove-that-n-1-1-n-2-pi-2-1-1-e-2-1-

Question Number 138163 by mnjuly1970 last updated on 10/Apr/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:……..{nice}\:\:…\:….\:….\:{calculus}….. \\ $$$$\:\:\:\:{prove}\:{that}:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\Psi=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{1}}{{n}^{\mathrm{2}} \pi^{\mathrm{2}} +\mathrm{1}}\right)\overset{???} {=}\frac{\mathrm{1}}{{e}^{\mathrm{2}} −\mathrm{1}} \\ $$$$\:\:\:\:\:\:\:\:…………. \\ $$ Answered…

let-A-1-1-2-3-1-calculate-e-A-and-e-tA-2-find-cosA-sinA-3-find-log-1-A-

Question Number 138133 by mathmax by abdo last updated on 10/Apr/21 $$\mathrm{let}\:\mathrm{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:−\mathrm{1}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\mathrm{calculate}\:\mathrm{e}^{\mathrm{A}} \:\:\:\:\mathrm{and}\:\mathrm{e}^{\mathrm{tA}} \\ $$$$\left.\mathrm{2}\right)\mathrm{find}\:\mathrm{cosA}\:\:,\mathrm{sinA} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{find}\:\mathrm{log}\left(\mathrm{1}+\mathrm{A}\right) \\ $$ Terms of Service Privacy…

calculate-dx-2-x-2-3-x-2-

Question Number 138128 by mathmax by abdo last updated on 10/Apr/21 $$\mathrm{calculate}\:\int\:\:\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{2}−\mathrm{x}^{\mathrm{2}} }+\sqrt{\mathrm{3}+\mathrm{x}^{\mathrm{2}} }} \\ $$ Answered by MJS_new last updated on 10/Apr/21 $$\int\frac{{dx}}{\:\sqrt{\mathrm{2}−{x}^{\mathrm{2}} }+\sqrt{\mathrm{3}+{x}^{\mathrm{2}}…

calculus-III-evaluate-0-pi-2-0-x-cos-y-pi-2-x-pi-2-y-dydx-

Question Number 138114 by mnjuly1970 last updated on 10/Apr/21 $$\:\:\:\:\:\:\:\:\:\:\:\:……\:{calculus}…..\left({III}\right)…… \\ $$$$\:\:\:\:\:\:\:\:\:{evaluate}::\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}\overset{???} {=}\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \int_{\mathrm{0}} ^{\:{x}} \frac{{cos}\left({y}\right)}{\:\sqrt{\left(\frac{\pi}{\mathrm{2}}−{x}\right)\left(\frac{\pi}{\mathrm{2}}−{y}\right)}}{dydx} \\ $$$$ \\ $$ Commented by…