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AllQuestion and Answers: Page 652

Question Number 148128 Answers: 1 Comments: 0

∫ln(sin(x))dx

$$\int\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)\mathrm{dx} \\ $$

Question Number 148118 Answers: 2 Comments: 0

Question Number 148113 Answers: 1 Comments: 0

Question Number 148112 Answers: 0 Comments: 0

Question Number 148109 Answers: 0 Comments: 0

x^(√2) + x − 3 = 0 x ∈ R, x = ?

$$\:\boldsymbol{\mathrm{x}}^{\sqrt{\mathrm{2}}} \:+\:\boldsymbol{\mathrm{x}}\:−\:\mathrm{3}\:=\:\mathrm{0} \\ $$$$\: \\ $$$$\:\boldsymbol{\mathrm{x}}\:\in\:\mathbb{R},\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$

Question Number 148105 Answers: 0 Comments: 1

Question Number 148092 Answers: 1 Comments: 0

Question Number 148090 Answers: 1 Comments: 2

Question Number 148082 Answers: 1 Comments: 1

Question Number 148077 Answers: 2 Comments: 0

∫ ((cos^n x)/(sinx)) dx = ?

$$\int\:\frac{{cos}^{\boldsymbol{{n}}} {x}}{{sinx}}\:{dx}\:=\:? \\ $$

Question Number 148071 Answers: 2 Comments: 1

Question Number 148070 Answers: 0 Comments: 1

Question Number 148068 Answers: 3 Comments: 0

Question Number 148064 Answers: 4 Comments: 1

Question Number 148051 Answers: 1 Comments: 2

⇁(⇁p→q)∨(p∧⇁q) simplify

$$\rightharpoondown\left(\rightharpoondown\mathrm{p}\rightarrow\mathrm{q}\right)\vee\left(\mathrm{p}\wedge\rightharpoondown\mathrm{q}\right)\: \\ $$$$\mathrm{simplify} \\ $$

Question Number 148048 Answers: 2 Comments: 0

2^x −3^(((x/2))) =1

$$\mathrm{2}^{\mathrm{x}} −\mathrm{3}^{\left(\frac{\mathrm{x}}{\mathrm{2}}\right)} =\mathrm{1} \\ $$

Question Number 148045 Answers: 0 Comments: 1

Question Number 148043 Answers: 1 Comments: 0

(((2 − (√2))^8 ∙ (6 + 4(√2))^8 )/((2 + (√2))^8 )) = ?

$$\frac{\left(\mathrm{2}\:−\:\sqrt{\mathrm{2}}\right)^{\mathrm{8}} \:\centerdot\:\left(\mathrm{6}\:+\:\mathrm{4}\sqrt{\mathrm{2}}\right)^{\mathrm{8}} }{\left(\mathrm{2}\:+\:\sqrt{\mathrm{2}}\right)^{\mathrm{8}} }\:=\:? \\ $$

Question Number 148042 Answers: 2 Comments: 0

(√(17 − 4(√(15)))) − ((144))^(1/4) = ?

$$\sqrt{\mathrm{17}\:−\:\mathrm{4}\sqrt{\mathrm{15}}}\:−\:\sqrt[{\mathrm{4}}]{\mathrm{144}}\:=\:? \\ $$

Question Number 148035 Answers: 1 Comments: 2

if f(g(x)) = 2x - 5 and f(x) = x + 2 find g(x) = ?

$${if}\:\:\:{f}\left({g}\left({x}\right)\right)\:=\:\mathrm{2}{x}\:-\:\mathrm{5}\:\:{and}\:\:{f}\left({x}\right)\:=\:{x}\:+\:\mathrm{2} \\ $$$${find}\:\:\:{g}\left({x}\right)\:=\:? \\ $$

Question Number 148033 Answers: 0 Comments: 1

Question Number 148027 Answers: 1 Comments: 4

if 2x^3 + 3y^3 = 200 ⇒ (x^2 y^2 )_(max) = ?

$${if}\:\:\:\mathrm{2}{x}^{\mathrm{3}} \:+\:\mathrm{3}{y}^{\mathrm{3}} \:=\:\mathrm{200}\:\:\Rightarrow\:\:\left({x}^{\mathrm{2}} {y}^{\mathrm{2}} \right)_{\boldsymbol{{max}}} \:=\:? \\ $$

Question Number 148026 Answers: 1 Comments: 0

A :=∫_(−1) ^( 0) e^( x +(1/x)) & aA+e^b = ∫_0 ^( ∞) ((1/e))^( x+(1/x)) than : a+ b =? a , b ∈ Z

$$ \\ $$$$\mathrm{A}\::=\int_{−\mathrm{1}} ^{\:\mathrm{0}} {e}^{\:{x}\:+\frac{\mathrm{1}}{{x}}} \:\:\&\:{a}\mathrm{A}+{e}^{{b}} =\:\int_{\mathrm{0}} ^{\:\infty} \left(\frac{\mathrm{1}}{{e}}\right)^{\:{x}+\frac{\mathrm{1}}{{x}}} \\ $$$$\:\:{than}\::\:\:{a}+\:{b}\:=?\:\:\:\:\:{a}\:,\:{b}\:\in\:\mathbb{Z} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$

Question Number 148020 Answers: 0 Comments: 0

Σ_(k=2) ^∞ (−1)^k ∙((lnk)/k)=γln2−(1/2)ln^2 2

$$\underset{\mathrm{k}=\mathrm{2}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{\mathrm{k}} \centerdot\frac{\mathrm{lnk}}{\mathrm{k}}=\gamma\mathrm{ln2}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}^{\mathrm{2}} \mathrm{2} \\ $$

Question Number 148014 Answers: 0 Comments: 0

Question Number 148015 Answers: 0 Comments: 4

........ mathematics....... 5 (11)^( x) ≡^(13) 3^( x) ( x ∈ N ) find values of :: x = ?

$$\:\:\:\:\:\:\:\:........\:{mathematics}....... \\ $$$$\:\:\:\:\:\:\:\mathrm{5}\:\left(\mathrm{11}\right)^{\:{x}} \:\overset{\mathrm{13}} {\equiv}\:\mathrm{3}^{\:{x}} \:\:\:\:\:\left(\:{x}\:\in\:\mathbb{N}\:\right)\:\:\: \\ $$$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:{find}\:{values}\:{of}\:\:\:\:::\:\:\:\:{x}\:=\:? \\ $$$$ \\ $$

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