Question Number 69246 by ~ À ® @ 237 ~ last updated on 21/Sep/19 $$\:\:\:{Explicit}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{Si}\left({ax}\right)}{{x}+{b}}\:{dx}\:\:\:{with}\:\:{Si}\left({u}\right)=\int_{\mathrm{0}} ^{{u}} \:\frac{{sinx}}{{x}}{dx} \\ $$ Terms of Service Privacy…
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Question Number 69247 by Rio Michael last updated on 21/Sep/19 $${show}\:{that}\: \\ $$$$\:{c}\mid{a}\:\Leftrightarrow\:−{c}\mid{a}. \\ $$ Commented by kaivan.ahmadi last updated on 22/Sep/19 $${c}\mid{a}\Rightarrow{a}={cx};\:\exists{x}\in\mathbb{Z} \\ $$$$\Rightarrow{a}=−{c}\left(−{x}\right)…
Question Number 3709 by Rasheed Soomro last updated on 19/Dec/15 $$\mathcal{W}{hat}\:{is}\:{a}\:{solid}\:{angle}? \\ $$$$\mathcal{H}{ow}\:{is}\:{it}\:{defined}? \\ $$$${Does}\:{the}\:{corner}\:{of}\:{a} \\ $$$${cubic}\:{room}\:{can}\:{be}\:{said} \\ $$$$'\:{right}\:{solid}\:{angle}\:'\:? \\ $$ Answered by 123456 last…
Question Number 134782 by oooooooo last updated on 07/Mar/21 $$\mathrm{1},\mathrm{4},\mathrm{16},\mathrm{52},\mathrm{196},… \\ $$$$\mathrm{X}_{\mathrm{n}} =\:??? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 3707 by Filup last updated on 19/Dec/15 $$\mathrm{lets}\:\mathrm{say}\:\mathrm{we}\:\mathrm{have}\:\mathrm{a}\:\mathrm{function}\:{f}\left({x}\right). \\ $$$$\mathrm{The}\:\mathrm{tangent}\:\mathrm{line}\:\mathrm{at}\:{x}={n}\:\mathrm{makes}\:\mathrm{an} \\ $$$$\mathrm{angle}\:\theta\:\mathrm{with}\:\mathrm{the}\:{x}−\mathrm{axis}. \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{of}\:\mathrm{change}\:\mathrm{of}\:\mathrm{the}\:\mathrm{angle} \\ $$$$\mathrm{as}\:\mathrm{we}\:\mathrm{change}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}? \\ $$$$ \\ $$$$\mathrm{Suppose}\:{f}\left({x}\right)={x}^{\mathrm{2}} \\…
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Question Number 69241 by ~ À ® @ 237 ~ last updated on 21/Sep/19 $$\:{Let}\:{consider}\:{K}=\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\left(\mathrm{1}−{x}^{{a}} \right)\left(\mathrm{1}−{x}^{{b}} \right)\left(\mathrm{1}−{x}^{{c}} \right)}{\left({x}−\mathrm{1}\right){lnx}}{dx}\: \\ $$$${prove}\:{that}\: \\ $$$${e}^{{K}} =\:\frac{\left({a}+{b}\right)!\left({a}+{c}\right)!\left({b}+{c}\right)!}{{a}!{b}!{c}!\left({a}+{b}+{c}\right)!}\:\:…
Question Number 69238 by ~ À ® @ 237 ~ last updated on 21/Sep/19 $${Use}\:{Residus}\:{Theorem}\:{to}\:{explicit}\: \\ $$$${f}\left({a}\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\left(−\mathrm{1}\right)^{{n}} {sin}\left({na}\right)}{{n}^{\mathrm{3}} }\:\: \\ $$ Commented by…
Question Number 134772 by bramlexs22 last updated on 07/Mar/21 $$ \\ $$What is the equation of a circle that goes through points (0,1), (1,4), and…