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IntegrationQuestion and Answers: Page 30

Question Number 196832 Answers: 0 Comments: 1

∫xe^(1/(2x)) dx=?

$$\int{x}\mathrm{e}^{\frac{\mathrm{1}}{\mathrm{2}{x}}} {dx}=? \\ $$

Question Number 196817 Answers: 1 Comments: 0

Question Number 196688 Answers: 1 Comments: 0

Question Number 196788 Answers: 2 Comments: 0

calculer ∫_0 ^1 (√(1−x^2 )) <erly rolvinst>

$${calculer}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{1}−{x}^{\mathrm{2}} } \\ $$$$<{erly}\:{rolvinst}> \\ $$$$ \\ $$

Question Number 196557 Answers: 1 Comments: 0

Question Number 196496 Answers: 1 Comments: 0

Question Number 196487 Answers: 1 Comments: 0

∫(sec^4 x−cot^4 x)dx

$$\int\left(\mathrm{sec}\:^{\mathrm{4}} {x}−\mathrm{cot}\:^{\mathrm{4}} {x}\right){dx} \\ $$

Question Number 196459 Answers: 1 Comments: 0

Question Number 196436 Answers: 1 Comments: 0

∫(dx/(x(x^n −1)))

$$\int\frac{{dx}}{{x}\left({x}^{{n}} −\mathrm{1}\right)} \\ $$

Question Number 196435 Answers: 0 Comments: 2

Question Number 196375 Answers: 1 Comments: 1

∫(dx/(x(x^4 −1)))

$$\int\frac{{dx}}{{x}\left({x}^{\mathrm{4}} −\mathrm{1}\right)} \\ $$

Question Number 196277 Answers: 3 Comments: 0

(d^2 /dy^2 ) (sin^3 x) =?

$$\:\:\:\: \\ $$$$ \:\frac{\mathrm{d}^{\mathrm{2}} }{\mathrm{dy}^{\mathrm{2}} }\:\left(\mathrm{sin}\:^{\mathrm{3}} \mathrm{x}\right)\:=?\: \\ $$

Question Number 196276 Answers: 1 Comments: 0

Question Number 196173 Answers: 1 Comments: 0

Calcul I_a =∫_a ^(1/a) ((lnx)/(1+x^2 ))dx (a>0)

$$\boldsymbol{{Calcul}}\:\boldsymbol{{I}}_{\boldsymbol{{a}}} =\int_{\boldsymbol{{a}}} ^{\frac{\mathrm{1}}{\boldsymbol{{a}}}} \frac{\boldsymbol{{lnx}}}{\mathrm{1}+\boldsymbol{{x}}^{\mathrm{2}} }\boldsymbol{{dx}}\:\left(\boldsymbol{{a}}>\mathrm{0}\right)\: \\ $$

Question Number 196046 Answers: 0 Comments: 0

∫e^x^2 ln^(24) (x)dx

$$\int{e}^{{x}^{\mathrm{2}} } \:{ln}^{\mathrm{24}} \left({x}\right){dx} \\ $$

Question Number 196037 Answers: 2 Comments: 0

∫ ((sin 2x)/(sin^3 x+cos^3 x)) dx =?

$$\:\:\:\int\:\frac{\mathrm{sin}\:\mathrm{2x}}{\mathrm{sin}\:^{\mathrm{3}} \mathrm{x}+\mathrm{cos}\:^{\mathrm{3}} \mathrm{x}}\:\mathrm{dx}\:=? \\ $$

Question Number 196013 Answers: 1 Comments: 0

quel est la transformer de Fourier de la fonction suivante: f(x)=e^(−(x^2 /2)) Find the Fourier transform of the following fonction.

$${quel}\:{est}\:{la}\:{transformer}\:{de}\:{Fourier}\:{de}\:{la}\:{fonction} \\ $$$${suivante}: \\ $$$${f}\left({x}\right)=\boldsymbol{{e}}^{−\frac{\boldsymbol{{x}}^{\mathrm{2}} }{\mathrm{2}}} \\ $$$$\boldsymbol{{F}}{ind}\:{the}\:{Fourier}\:{transform}\:{of}\:{the}\: \\ $$$${following}\:{fonction}. \\ $$

Question Number 195997 Answers: 0 Comments: 0

Question Number 195995 Answers: 1 Comments: 0

Δ={(x^ y z), x^2 +y^2 ≤1, x≥0,0<z<y+1} calculer I=∫∫∫_Δ xyzdxdydz please i need help

$$\Delta=\left\{\left(\bar {{x}}\:{y}\:{z}\right),\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant\mathrm{1},\:{x}\geqslant\mathrm{0},\mathrm{0}<{z}<{y}+\mathrm{1}\right\} \\ $$$${calculer}\:\boldsymbol{{I}}=\int\int\int_{\Delta} {xyzdxdydz} \\ $$$${please}\:{i}\:{need}\:{help} \\ $$

Question Number 195910 Answers: 1 Comments: 0

Question Number 195846 Answers: 1 Comments: 0

{ (( Ω_1 = ∫_0 ^( (π/2)) (( x^( 2) )/(sin^( 2) (x))) dx )),(( ⇒ (Ω_1 /Ω_( 2) ) = ? )),(( Ω_( 2) = ∫_0 ^( (π/2)) (x/(tan(x))) dx)) :}

$$ \\ $$$$\:\:\:\:\:\:\begin{cases}{\:\:\:\Omega_{\mathrm{1}} \:=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\:{x}^{\:\mathrm{2}} }{{sin}^{\:\mathrm{2}} \left({x}\right)}\:{dx}\:}\\{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Rightarrow\:\:\:\frac{\Omega_{\mathrm{1}} }{\Omega_{\:\mathrm{2}} }\:=\:?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}\\{\:\:\Omega_{\:\mathrm{2}} =\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{{x}}{{tan}\left({x}\right)}\:{dx}}\end{cases} \\ $$$$ \\ $$

Question Number 195803 Answers: 0 Comments: 0

∫(((√x)dx)/( (√(−1+(√(2−(x+1)^2 ))))))

$$\int\frac{\sqrt{{x}}{dx}}{\:\sqrt{−\mathrm{1}+\sqrt{\mathrm{2}−\left({x}+\mathrm{1}\right)^{\mathrm{2}} }}} \\ $$

Question Number 195468 Answers: 1 Comments: 0

∫((x^5 +x^2 )/((x^6 +2x^3 )^7 ))dx

$$\int\frac{{x}^{\mathrm{5}} +{x}^{\mathrm{2}} }{\left({x}^{\mathrm{6}} +\mathrm{2}{x}^{\mathrm{3}} \right)^{\mathrm{7}} }{dx} \\ $$

Question Number 195416 Answers: 1 Comments: 0

Question Number 200299 Answers: 1 Comments: 0

Question Number 195224 Answers: 2 Comments: 0

∫_1 ^e 0 dx = ??

$$\:\:\:\:\:\:\:\int_{\mathrm{1}} ^{\mathrm{e}} \mathrm{0}\:{dx}\:=\:?? \\ $$

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