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Question Number 224229 Answers: 1 Comments: 1

Question Number 224225 Answers: 0 Comments: 0

Question Number 224224 Answers: 0 Comments: 3

Question Number 224213 Answers: 1 Comments: 1

Question Number 224207 Answers: 0 Comments: 5

Question Number 224203 Answers: 0 Comments: 6

Question Number 224201 Answers: 0 Comments: 0

∫ (x^3 /(x^7 −8x^2 )) dx

$$\int\:\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{x}^{\mathrm{7}} −\mathrm{8x}^{\mathrm{2}} }\:\mathrm{dx} \\ $$

Question Number 224191 Answers: 0 Comments: 1

Question Number 224197 Answers: 2 Comments: 0

∫_0 ^∞ (e^(−𝛟x^2 ) +e^(−𝛅x^2 ) +e^(−𝛄x^2 ) ) 𝛄−euler′s mascheroni constant 𝛟−golden ratio 𝛅−silver ratio klipto−quanta♠

$$\int_{\mathrm{0}} ^{\infty} \left(\boldsymbol{\mathrm{e}}^{−\boldsymbol{\varphi\mathrm{x}}^{\mathrm{2}} } +\boldsymbol{\mathrm{e}}^{−\boldsymbol{\delta\mathrm{x}}^{\mathrm{2}} } +\boldsymbol{\mathrm{e}}^{−\boldsymbol{\gamma\mathrm{x}}^{\mathrm{2}} } \right) \\ $$$$\boldsymbol{\gamma}−\boldsymbol{\mathrm{euler}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{mascheroni}}\:\boldsymbol{\mathrm{constant}} \\ $$$$\boldsymbol{\varphi}−\boldsymbol{\mathrm{golden}}\:\boldsymbol{\mathrm{ratio}} \\ $$$$\boldsymbol{\delta}−\boldsymbol{\mathrm{silver}}\:\boldsymbol{\mathrm{ratio}} \\ $$$$\boldsymbol{\mathrm{klipto}}−\boldsymbol{\mathrm{quanta}}\spadesuit \\ $$

Question Number 224182 Answers: 1 Comments: 0

Calculate I=∫ ((sin x)/(1+ sin x)) dx

$$\mathrm{Calculate} \\ $$$${I}=\int\:\frac{\mathrm{sin}\:{x}}{\mathrm{1}+\:\mathrm{sin}\:{x}}\:\mathrm{d}{x} \\ $$

Question Number 224176 Answers: 2 Comments: 1

Question Number 224168 Answers: 2 Comments: 1

Question Number 224160 Answers: 0 Comments: 0

Q224122

$${Q}\mathrm{224122} \\ $$

Question Number 224153 Answers: 0 Comments: 8

Question Number 224150 Answers: 0 Comments: 2

Question Number 224146 Answers: 1 Comments: 0

a = 12^(223) ∙ 7^(56) + 19^(25) what is the last digit of the number?

$$\boldsymbol{\mathrm{a}}\:=\:\mathrm{12}^{\mathrm{223}} \:\centerdot\:\mathrm{7}^{\mathrm{56}} \:+\:\mathrm{19}^{\mathrm{25}} \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{last}\:\mathrm{digit}\:\mathrm{of}\:\mathrm{the}\:\mathrm{number}? \\ $$

Question Number 224144 Answers: 1 Comments: 1

Question Number 224124 Answers: 2 Comments: 0

∫_(−2) ^2 ((x^3 cos((x/2))+(1/2))/( (√(4−x^2 ))))

$$\int_{−\mathrm{2}} ^{\mathrm{2}} \frac{\boldsymbol{\mathrm{x}}^{\mathrm{3}} \boldsymbol{\mathrm{cos}}\left(\frac{\boldsymbol{\mathrm{x}}}{\mathrm{2}}\right)+\frac{\mathrm{1}}{\mathrm{2}}}{\:\sqrt{\mathrm{4}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }} \\ $$

Question Number 224122 Answers: 1 Comments: 1

Question Number 224121 Answers: 1 Comments: 0

Question Number 224118 Answers: 1 Comments: 0

Question Number 224113 Answers: 0 Comments: 0

Guys my exams are finished ! I will be active as usual! :)

$${Guys}\:{my}\:{exams}\:{are}\:{finished}\:! \\ $$$${I}\:{will}\:{be}\:{active}\:{as}\:{usual}! \\ $$$$\left.:\right) \\ $$

Question Number 224108 Answers: 3 Comments: 0

Question Number 224106 Answers: 0 Comments: 1

Question Number 224100 Answers: 1 Comments: 0

Calculate I=∫^( +∞) _( 0) [(1/t)−(1/(sh(t)))]^( 2) dt

$$\mathrm{Calculate}\:\mathrm{I}=\underset{\:\mathrm{0}} {\int}^{\:+\infty} \left[\frac{\mathrm{1}}{\mathrm{t}}−\frac{\mathrm{1}}{\mathrm{sh}\left(\mathrm{t}\right)}\right]^{\:\mathrm{2}} \mathrm{dt} \\ $$

Question Number 224095 Answers: 1 Comments: 2

how to prove that x + 9 = x is not has solution because (x + 9)^2 = x^2 x^2 + 18x + 81 = x^2 18x = −81 x = − ((81)/(18)) = −(9/2)

$${how}\:{to}\:{prove}\:{that}\:\:{x}\:+\:\mathrm{9}\:=\:{x}\:{is}\:{not}\:{has}\:{solution} \\ $$$${because}\: \\ $$$$\left({x}\:+\:\mathrm{9}\right)^{\mathrm{2}} \:=\:{x}^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}} \:+\:\mathrm{18}{x}\:+\:\mathrm{81}\:=\:{x}^{\mathrm{2}} \\ $$$$\mathrm{18}{x}\:=\:−\mathrm{81} \\ $$$${x}\:=\:−\:\frac{\mathrm{81}}{\mathrm{18}}\:=\:−\frac{\mathrm{9}}{\mathrm{2}} \\ $$

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