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Question Number 215224 by ppch145 last updated on 31/Dec/24 $$\mathrm{I}\:\mathrm{have}\:\mathrm{just}\:\mathrm{discovered}\:\mathrm{that}\:\mathrm{it}\: \\ $$$$\mathrm{is}\:\mathrm{only}\:\mathrm{alphabetic}\:\mathrm{letters}\:\mathrm{that} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{made}\:\mathrm{bold}\:\mathrm{while}\: \\ $$$$\mathrm{typing}\:\mathrm{with}\:\mathrm{the}\:\mathrm{keyboard}\:\mathrm{of}\: \\ $$$$\mathrm{this}\:\mathrm{app}.\:\mathrm{Numbers}\:\mathrm{0}\:-\:\mathrm{9}\:\mathrm{can}'\mathrm{t} \\ $$$$\mathrm{be}\:\mathrm{made}\:\mathrm{bold},\:\mathrm{after}\:\mathrm{being}\: \\ $$$$\mathrm{selected}.\: \\ $$$$ \\…
Question Number 215193 by MATHEMATICSAM last updated on 31/Dec/24 Commented by MATHEMATICSAM last updated on 31/Dec/24 $$\mathrm{If}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{smaller}\:\mathrm{circle}\:\mathrm{is}\:{a}\:\mathrm{sq}\:\mathrm{unit} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{larger}\:\mathrm{circle}\:\mathrm{is}\:{A}\:\mathrm{sq}\:\mathrm{unit} \\ $$$$\mathrm{find}\:\frac{{a}}{{A}}\:. \\ $$ Answered by…
Question Number 215195 by mr W last updated on 31/Dec/24 Commented by mr W last updated on 31/Dec/24 $${find}\:{the}\:{shaded}\:{area}=? \\ $$ Answered by mr W…
Question Number 215188 by MrGaster last updated on 31/Dec/24 $$\int_{\mathrm{0}} ^{\infty} \frac{{x}\:\mathrm{cos}\:\mathrm{2}\pi{x}}{{e}^{\mathrm{2}\pi\sqrt{{x}}} −\mathrm{1}}{dx} \\ $$ Answered by MathematicalUser2357 last updated on 31/Dec/24 $$\approx\mathrm{0}.\mathrm{000807442} \\ $$…
Question Number 215189 by MrGaster last updated on 31/Dec/24 $$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{ln}\left(\mathrm{1}+{x}^{\mathrm{12}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Answered by MathematicalUser2357 last updated on 31/Dec/24 $$\mathrm{OMFG}\:\mathrm{Expression}\:\mathrm{too}\:\mathrm{long}. \\…
Question Number 215190 by MrGaster last updated on 31/Dec/24 $$\int\frac{{x}^{{p}−\mathrm{1}} }{\mathrm{1}+{x}^{{n}} }\mathrm{lnln}\frac{\mathrm{1}}{{x}}{dx},{p},{n}>\mathrm{0} \\ $$ Answered by MathematicalUser2357 last updated on 31/Dec/24 $$\mathrm{No}\:\mathrm{result}\:\mathrm{found}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{standard}\:\mathrm{mathematical}\:\mathrm{functions} \\ $$ Answered…
Question Number 215185 by MrGaster last updated on 31/Dec/24 $$\int_{−\infty} ^{\infty} \frac{\mathrm{exp}\left(\frac{{ax}}{\mathrm{1}+{x}^{\mathrm{2}} }\right)\mathrm{exp}\left(\frac{{a}}{\mathrm{1}+{x}^{\mathrm{2}} }\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx},{a}>\mathrm{0} \\ $$ Answered by MathematicalUser2357 last updated on 31/Dec/24 $$\mathrm{Oops}!\:\mathrm{Make}\:\mathrm{sure}\:\mathrm{you}\:\mathrm{typed}\:\mathrm{the}\:\mathrm{expression}\:\mathrm{made}\:\mathrm{of}\:{x}.…
Question Number 215186 by MrGaster last updated on 31/Dec/24 $$\int_{\mathrm{0}} ^{\infty} {Ei}\left(−{x}\right)\mathrm{ln}{xdx} \\ $$ Answered by MathematicalUser2357 last updated on 31/Dec/24 $$=\mathrm{1}+\boldsymbol{\gamma}\:\left(\approx\mathrm{1}.\mathrm{57722}\right) \\ $$ Terms…