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Category: Relation and Functions

let-f-x-x-4-x-2-and-g-x-2-x-3-2-x-3-1-find-D-f-D-g-and-D-fog-and-determine-fog-x-2-calculate-gof-x-and-give-D-gof-3-calculate-1-2-1-2-f-x-d

Question Number 59188 by maxmathsup by imad last updated on 05/May/19 letf(x)=x4x2andg(x)=2+x32x31)findDf,DgandDfoganddeterminefog(x)2)calculategof(x)andgiveDgof$$\left.\mathrm{3}\right)\:{calculate}\:\int_{−\frac{\mathrm{1}}{\mathrm{2}}} ^{\frac{\mathrm{1}}{\mathrm{2}}} {f}\left({x}\right){dx}\:\:\:\: \

advanced-calculus-p-q-are-positive-integers-and-p-q-let-p-q-0-1-x-p-1-x-q-dx-prove-that-n-n-1-1-n-1-k-1-n-k-1-

Question Number 124102 by mnjuly1970 last updated on 30/Nov/20 advancedcalculusp,qarepositiveintegersandpq:let:ϕ(p,q)=01xp{1x}qdxprovethat::$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\phi\left({n},{n}\right)\overset{?} {=}\mathrm{1}−\frac{\mathrm{1}}{{n}+\mathrm{1}}\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\zeta\left({k}+\mathrm{1}\right)…