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Question Number 45811 Answers: 1 Comments: 0

(18+5x)×3=309

$$\left(\mathrm{18}+\mathrm{5x}\right)×\mathrm{3}=\mathrm{309} \\ $$

Question Number 45836 Answers: 0 Comments: 3

∫(1/(sin^2 x))∙(1/((3+2cosx)))dx=?

$$\int\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}\centerdot\frac{\mathrm{1}}{\left(\mathrm{3}+\mathrm{2}{cosx}\right)}{dx}=? \\ $$

Question Number 45809 Answers: 2 Comments: 2

Question Number 45827 Answers: 1 Comments: 1

Question Number 45802 Answers: 0 Comments: 1

some practice for the brave... ∫((cos^2 x sin^2 x)/(cos x +sin x))dx=? ∫((cos^2 x tan^2 x)/(cos x +tan x))dx=? ∫((sin^2 x tan^2 x)/(sin x +tan x))dx=?

$$\mathrm{some}\:\mathrm{practice}\:\mathrm{for}\:\mathrm{the}\:\mathrm{brave}... \\ $$$$\int\frac{\mathrm{cos}^{\mathrm{2}} \:{x}\:\mathrm{sin}^{\mathrm{2}} \:{x}}{\mathrm{cos}\:{x}\:+\mathrm{sin}\:{x}}{dx}=? \\ $$$$\int\frac{\mathrm{cos}^{\mathrm{2}} \:{x}\:\mathrm{tan}^{\mathrm{2}} \:{x}}{\mathrm{cos}\:{x}\:+\mathrm{tan}\:{x}}{dx}=? \\ $$$$\int\frac{\mathrm{sin}^{\mathrm{2}} \:{x}\:\mathrm{tan}^{\mathrm{2}} \:{x}}{\mathrm{sin}\:{x}\:+\mathrm{tan}\:{x}}{dx}=? \\ $$

Question Number 45795 Answers: 1 Comments: 0

find ∫ (dx/(cosx sin^2 x))

$${find}\:\int\:\frac{{dx}}{{cosx}\:{sin}^{\mathrm{2}} {x}} \\ $$

Question Number 45794 Answers: 1 Comments: 0

Question Number 45792 Answers: 2 Comments: 3

let u_n =Σ_(k=1) ^n (((−1)^([k]) )/k) and H_n =Σ_(k=1) ^n (1/k) 1)calculate u_n interms of H_n 2)study the convergence of (u_n ) 3)study theconvergence of Σ u_(n.)

$${let}\:{u}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{\left[{k}\right]} }{{k}}\:\:{and}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$$$\left.\mathrm{1}\right){calculate}\:{u}_{{n}} \:{interms}\:{of}\:{H}_{{n}} \\ $$$$\left.\mathrm{2}\right){study}\:{the}\:{convergence}\:{of}\:\left({u}_{{n}} \right) \\ $$$$\left.\mathrm{3}\right){study}\:{theconvergence}\:{of}\:\Sigma\:{u}_{{n}.} \\ $$$$ \\ $$

Question Number 45804 Answers: 0 Comments: 0

Question Number 45806 Answers: 0 Comments: 0

Question Number 45781 Answers: 1 Comments: 0

Plz solve log (17.92)^(−(1/9))

$$\:\:\:{Plz}\:{solve} \\ $$$$\:\:\:\:\boldsymbol{{log}}\:\left(\mathrm{17}.\mathrm{92}\right)^{−\frac{\mathrm{1}}{\mathrm{9}}} \\ $$

Question Number 45776 Answers: 1 Comments: 1

y=∣f(x)∣ y′−?

$$\boldsymbol{{y}}=\mid\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)\mid \\ $$$$\boldsymbol{{y}}'−? \\ $$

Question Number 45777 Answers: 0 Comments: 1

2cos ((3π)/7)=((24+(√(3a)))/(72))where a=−27+4(√(147.4))

$$\mathrm{2cos}\:\frac{\mathrm{3}\pi}{\mathrm{7}}=\frac{\mathrm{24}+\sqrt{\mathrm{3}{a}}}{\mathrm{72}}{where}\:{a}=−\mathrm{27}+\mathrm{4}\sqrt{\mathrm{147}.\mathrm{4}} \\ $$

Question Number 45774 Answers: 0 Comments: 0

trigonometruc valyes

$${trigonometruc}\:{valyes} \\ $$

Question Number 45771 Answers: 1 Comments: 0

find f(x)=∫_0 ^∞ cos(x+t^2 )dtand g(x)=∫_0 ^∞ sin(x+t^2 )dt 2) find the value of f^′ (x) and g^′ (x).

$${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}+{t}^{\mathrm{2}} \right){dtand}\:{g}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:{sin}\left({x}+{t}^{\mathrm{2}} \right){dt} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:{f}^{'} \left({x}\right)\:{and}\:{g}^{'} \left({x}\right). \\ $$

Question Number 45785 Answers: 1 Comments: 0

Question Number 45748 Answers: 0 Comments: 1

Question Number 45747 Answers: 1 Comments: 0

Question Number 45746 Answers: 0 Comments: 1

Question Number 45783 Answers: 0 Comments: 1

sec(π/7)=((48−(√(3a)))/(36))

$${sec}\frac{\pi}{\mathrm{7}}=\frac{\mathrm{48}−\sqrt{\mathrm{3}{a}}}{\mathrm{36}} \\ $$

Question Number 45735 Answers: 2 Comments: 1

∫_α ^β (1/((x−α)(β−x)))dx =? β>α

$$\int_{\alpha} ^{\beta} \frac{\mathrm{1}}{\left({x}−\alpha\right)\left(\beta−{x}\right)}{dx}\:\:=?\:\:\:\beta>\alpha \\ $$

Question Number 45730 Answers: 2 Comments: 3

Question Number 45753 Answers: 1 Comments: 0

Question Number 45721 Answers: 0 Comments: 3

Integrate sin (x^2 )dx

$$\:{Integrate}\:\mathrm{sin}\:\left({x}^{\mathrm{2}} \right){dx} \\ $$

Question Number 45719 Answers: 1 Comments: 0

Question Number 45720 Answers: 2 Comments: 5

𝚺_(r = 1) ^n (r + 1)^3

$$\underset{\boldsymbol{\mathrm{r}}\:=\:\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\boldsymbol{\sum}}}\:\:\left(\boldsymbol{\mathrm{r}}\:+\:\mathrm{1}\right)^{\mathrm{3}} \\ $$

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