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AllQuestion and Answers: Page 1446
Question Number 64253 Answers: 0 Comments: 1
Question Number 64251 Answers: 0 Comments: 0
Question Number 64250 Answers: 0 Comments: 0
Question Number 64246 Answers: 3 Comments: 0
Question Number 64240 Answers: 1 Comments: 0
Question Number 64238 Answers: 0 Comments: 2
$$\int{ln}\left({x}−\mathrm{5}\right)/{x}^{\mathrm{2}} +\mathrm{110}{x}−\mathrm{5}{dx} \\ $$
Question Number 64227 Answers: 1 Comments: 0
$$\int\frac{\mathrm{1}}{{x}^{\mathrm{6}} +{x}^{\mathrm{3}} }{dx}=? \\ $$
Question Number 64225 Answers: 1 Comments: 0
$$\mathrm{Solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\underset{\sqrt{\mathrm{2}}} {\overset{{x}} {\int}}\:\:\:\frac{{dx}}{{x}\:\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:=\:\frac{\pi}{\mathrm{12}}\:\:\mathrm{is}\:\:{x}\:=\:\_\_\_\_\_. \\ $$
Question Number 64224 Answers: 0 Comments: 1
$$\int{x}_{{x}} {dx} \\ $$$$ \\ $$$$\int{x}^{{x}} {dx} \\ $$
Question Number 64213 Answers: 0 Comments: 2
$$\int\frac{\mathrm{1}}{{x}!}{dx}=? \\ $$
Question Number 64267 Answers: 1 Comments: 1
$$\mathrm{If}\:\underset{\:\mathrm{0}} {\overset{\pi} {\int}}\:\:\frac{\mathrm{1}}{{a}+{b}\:\mathrm{cos}\:{x}}\:{dx},\:{a}>\mathrm{0}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\frac{\pi}{\sqrt{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} }}\:, \\ $$$$\mathrm{then}\:\underset{\:\mathrm{0}} {\overset{\pi} {\int}}\:\:\:\frac{\mathrm{1}}{\left({a}+{b}\:\mathrm{cos}\:{x}\right)^{\mathrm{2}} }\:{dx}\:= \\ $$
Question Number 64266 Answers: 1 Comments: 0
$$\:\underset{\mathrm{1}/{e}} {\overset{{e}} {\int}}\:\mid\:\mathrm{log}\:{x}\:\mid\:{dx}\:= \\ $$
Question Number 64265 Answers: 1 Comments: 2
$$\mathrm{If}\:\underset{\mathrm{log}\:\mathrm{2}} {\overset{{x}} {\int}}\:\:\frac{\mathrm{1}}{\sqrt{{e}^{{x}} −\mathrm{1}}}\:{dx}\:=\:\frac{\pi}{\mathrm{6}},\:\mathrm{then}\:{x}\:= \\ $$
Question Number 64218 Answers: 0 Comments: 4
$${so}\:{goodbye}\:{everybody}\:{i}\:{am}\:{leaving}\:{this}\:{platform} \\ $$
Question Number 64269 Answers: 1 Comments: 0
$$\underset{−\pi} {\overset{\pi} {\int}}\:\left[\mathrm{cos}\:{px}−\mathrm{sin}\:{qx}\right]^{\mathrm{2}} {dx},\:\mathrm{where}\:{p},\:{q}\:\mathrm{are}\: \\ $$$$\mathrm{integers}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$
Question Number 64268 Answers: 0 Comments: 1
$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}^{\mathrm{99}} +\mathrm{2}^{\mathrm{99}} +...+\:{n}^{\mathrm{99}} }{{n}^{\mathrm{100}} }\:= \\ $$
Question Number 64270 Answers: 1 Comments: 0
$$\int\frac{\mathrm{5}{sin}\left({x}\right)\:{cos}\left({x}\right)}{\sqrt[{\mathrm{3}}]{{cos}\left({x}\right)+\mathrm{1}}}\:{dx} \\ $$
Question Number 64204 Answers: 1 Comments: 1
Question Number 64203 Answers: 1 Comments: 5
$$\mathrm{M}\:\mathrm{is}\:\mathrm{the}\:\mathrm{midpoint}\:\mathrm{of}\:\mathrm{segment}\:\mathrm{AB}.\:\mathrm{Prove} \\ $$$$\mathrm{that},\mathrm{for}\:\mathrm{every}\:\mathrm{point}\:\mathrm{P}\:\mathrm{in}\:\mathrm{space}, \\ $$$$\mid\mathrm{PM}\mid\:\leqslant\:\frac{\mid\mathrm{PA}\mid\:+\mid\mathrm{PB}\mid}{\mathrm{2}} \\ $$
Question Number 64202 Answers: 0 Comments: 0
$$\mathrm{Prove}\:\mathrm{385}^{\mathrm{1980}} +\mathrm{18}^{\mathrm{1980}} \:\mathrm{is}\:\mathrm{not}\:\mathrm{a}\:\mathrm{square}.\: \\ $$
Question Number 64201 Answers: 2 Comments: 0
$$\mathrm{Find}\:\mathrm{all}\:\mathrm{positive}\:\mathrm{solutions}\: \\ $$$$\mathrm{x}+\mathrm{y}+\mathrm{z}\:=\:\mathrm{1} \\ $$$$\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} +\:\mathrm{z}^{\mathrm{3}} \:+\:\mathrm{xyz}\:=\:\mathrm{x}^{\mathrm{4}} \:+\:\mathrm{y}^{\mathrm{4}} \:+\:\mathrm{z}^{\mathrm{4}} \:+\mathrm{1} \\ $$
Question Number 64200 Answers: 1 Comments: 1
Question Number 64187 Answers: 1 Comments: 0
Question Number 64186 Answers: 1 Comments: 0
Question Number 64185 Answers: 2 Comments: 3
Question Number 64176 Answers: 1 Comments: 0
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