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IntegrationQuestion and Answers: Page 26

Question Number 182270 Answers: 0 Comments: 0

Question Number 182242 Answers: 1 Comments: 0

∫^2 _0 ∫^3 _0 ∫^4 _0 e^(x+y+z) dx dy dz=?

$$\underset{\mathrm{0}} {\int}^{\mathrm{2}} \underset{\mathrm{0}} {\int}^{\mathrm{3}} \underset{\mathrm{0}} {\int}^{\mathrm{4}} {e}^{{x}+{y}+{z}} \:{dx}\:{dy}\:{dz}=? \\ $$

Question Number 182238 Answers: 1 Comments: 0

Question Number 182170 Answers: 1 Comments: 0

Question Number 181872 Answers: 1 Comments: 0

∫_(−1) ^4 (1/(∣x∣)) dx

$$\underset{−\mathrm{1}} {\overset{\mathrm{4}} {\int}}\frac{\mathrm{1}}{\mid{x}\mid}\:{dx} \\ $$

Question Number 181857 Answers: 1 Comments: 0

Question Number 181840 Answers: 0 Comments: 3

∫_(−1) ^4 ln x dx

$$\underset{−\mathrm{1}} {\overset{\mathrm{4}} {\int}}{ln}\:{x}\:{dx} \\ $$

Question Number 181793 Answers: 0 Comments: 1

Please Calculate this problem ∫_0 ^1 dx ∫_x^2 ^(√x) dy=....

$$\mathrm{Please}\:\mathrm{Calculate}\:\mathrm{this}\:\mathrm{problem} \\ $$$$\:\:\:\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\mathrm{dx}\:\underset{\mathrm{x}^{\mathrm{2}} } {\overset{\sqrt{\mathrm{x}}} {\int}}\:\mathrm{dy}=.... \\ $$

Question Number 181792 Answers: 0 Comments: 1

Please Calculate this integration 2∫_0 ^1 dx ∫_(2x) ^((2x)^(1/3) ) dy

$$\mathrm{Please}\:\mathrm{Calculate}\:\mathrm{this}\:\mathrm{integration} \\ $$$$\mathrm{2}\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\mathrm{dx}\:\underset{\mathrm{2x}} {\overset{\left(\mathrm{2x}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} } {\int}}\:\mathrm{dy} \\ $$

Question Number 181643 Answers: 0 Comments: 2

Ω=∫_0 ^(π/2) tan^(−1) cos x dx (I′d need the exact value if possible. I′ve got no idea if and how this can be solved.)

$$\Omega=\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\mathrm{tan}^{−\mathrm{1}} \:\mathrm{cos}\:{x}\:{dx} \\ $$$$\left(\mathrm{I}'\mathrm{d}\:\mathrm{need}\:\mathrm{the}\:\mathrm{exact}\:\mathrm{value}\:\mathrm{if}\:\mathrm{possible}.\:\mathrm{I}'\mathrm{ve}\right. \\ $$$$\left.\mathrm{got}\:\mathrm{no}\:\mathrm{idea}\:\mathrm{if}\:\mathrm{and}\:\mathrm{how}\:\mathrm{this}\:\mathrm{can}\:\mathrm{be}\:\mathrm{solved}.\right) \\ $$

Question Number 181607 Answers: 0 Comments: 0

Question Number 181319 Answers: 1 Comments: 0

Determiner 1. ∫(x/(x^4 +x^2 +1))dx 2. ∫((x^4 +1)/(x^4 +x^2 +1))dx

$${Determiner} \\ $$$$\mathrm{1}.\:\:\:\int\frac{{x}}{{x}^{\mathrm{4}} +{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$$$\mathrm{2}.\:\:\:\int\frac{{x}^{\mathrm{4}} +\mathrm{1}}{{x}^{\mathrm{4}} +{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$

Question Number 181152 Answers: 0 Comments: 0

solve the integral ∫_0 ^( 1) ((ln(1+x)ln(1−x))/(1+x))dx=???

$$\boldsymbol{{solve}}\:\boldsymbol{{the}}\:\boldsymbol{{integral}} \\ $$$$\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\boldsymbol{{ln}}\left(\mathrm{1}+\boldsymbol{{x}}\right)\boldsymbol{{ln}}\left(\mathrm{1}−\boldsymbol{{x}}\right)}{\mathrm{1}+\boldsymbol{{x}}}\boldsymbol{{dx}}=??? \\ $$

Question Number 180786 Answers: 1 Comments: 0

f(t)=∫_0 ^t x−⌊x⌋ dx

$${f}\left({t}\right)=\int_{\mathrm{0}} ^{{t}} {x}−\lfloor{x}\rfloor\:\:{dx} \\ $$

Question Number 180780 Answers: 0 Comments: 1

Question Number 180680 Answers: 4 Comments: 0

Question Number 180471 Answers: 0 Comments: 1

Question Number 180405 Answers: 0 Comments: 0

Ω = ∫ ((ln (x+1))/(x^2 +x)) dx =?

$$\:\:\:\Omega\:=\:\int\:\frac{\mathrm{ln}\:\left(\mathrm{x}+\mathrm{1}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\:\mathrm{dx}\:=? \\ $$

Question Number 180398 Answers: 1 Comments: 1

∫(1/(sin (x−a)sin (x−b)))dx=?

$$\int\frac{\mathrm{1}}{\mathrm{sin}\:\left(\mathrm{x}−\mathrm{a}\right)\mathrm{sin}\:\left(\mathrm{x}−\mathrm{b}\right)}\mathrm{dx}=? \\ $$$$ \\ $$

Question Number 180388 Answers: 1 Comments: 0

Question Number 180379 Answers: 1 Comments: 0

∫ x^2 ((x^6 +5))^(1/6) dx =?

$$\:\:\:\:\int\:{x}^{\mathrm{2}} \:\sqrt[{\mathrm{6}}]{{x}^{\mathrm{6}} +\mathrm{5}}\:{dx}\:=? \\ $$

Question Number 180095 Answers: 1 Comments: 0

∫_0 ^5 ∫_0 ^(√(25−x^2 )) (√(36−x^2 −y^2 dx dy))

$$\int_{\mathrm{0}} ^{\mathrm{5}} \int_{\mathrm{0}} ^{\sqrt{\mathrm{25}−{x}^{\mathrm{2}} }} \sqrt{\mathrm{36}−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} {dx}\:{dy}} \\ $$

Question Number 180046 Answers: 0 Comments: 0

pls find ∫_(−∞) ^∞ ((cos x)/((1+x^4 )))dx

$${pls}\:{find}\: \\ $$$$\underset{−\infty} {\overset{\infty} {\int}}\frac{{cos}\:{x}}{\left(\mathrm{1}+{x}^{\mathrm{4}} \right)}{dx} \\ $$

Question Number 179862 Answers: 2 Comments: 2

Question Number 179853 Answers: 1 Comments: 2

∫((xdx)/((x−1)(x−2)))

$$\int\frac{\boldsymbol{{xdx}}}{\left(\boldsymbol{{x}}−\mathrm{1}\right)\left(\boldsymbol{{x}}−\mathrm{2}\right)} \\ $$

Question Number 179852 Answers: 0 Comments: 4

prove ∫_0 ^(𝛑/2) log(sinx)dx=(π/2)log(1/2)

$$\boldsymbol{{prove}}\:\:\:\:\:\int_{\mathrm{0}} ^{\frac{\boldsymbol{\pi}}{\mathrm{2}}} \boldsymbol{{log}}\left(\boldsymbol{{sinx}}\right)\boldsymbol{{dx}}=\frac{\pi}{\mathrm{2}}\boldsymbol{{log}}\frac{\mathrm{1}}{\mathrm{2}} \\ $$

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