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IntegrationQuestion and Answers: Page 51

Question Number 168677 Answers: 2 Comments: 1

Question Number 168662 Answers: 0 Comments: 0

∫sin^3 (x)cos^4 (5x)dx=?

$$\int{sin}^{\mathrm{3}} \left({x}\right){cos}^{\mathrm{4}} \left(\mathrm{5}{x}\right){dx}=? \\ $$

Question Number 168649 Answers: 0 Comments: 3

Help!!!

$$\boldsymbol{{Help}}!!! \\ $$

Question Number 168652 Answers: 0 Comments: 0

Question Number 168595 Answers: 0 Comments: 1

Question Number 168499 Answers: 2 Comments: 0

Question Number 168477 Answers: 0 Comments: 6

Question Number 168473 Answers: 1 Comments: 0

Integrate: ∫((1/x)−1)^(1/2) dx Mastermind

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

Question Number 168463 Answers: 0 Comments: 0

∫ ((4csc^2 x)/( (√(1−3cot 2x)))) dx=?

$$\:\:\:\:\:\:\:\:\:\:\:\:\int\:\frac{\mathrm{4csc}^{\mathrm{2}} {x}}{\:\sqrt{\mathrm{1}−\mathrm{3cot}\:\mathrm{2}{x}}}\:{dx}=? \\ $$

Question Number 168459 Answers: 2 Comments: 0

Question Number 168446 Answers: 1 Comments: 0

Question Number 168368 Answers: 1 Comments: 0

Question Number 168366 Answers: 1 Comments: 0

Question Number 168355 Answers: 1 Comments: 0

let U_n =∫_0 ^1 (x^n )(√(1−x^(2n+1) )))dx 1) find a equivalent of U_n (n∼∞) 2) study the comvergence of Σ U_n

$$\left.{let}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{{n}} \right)\sqrt{\mathrm{1}−{x}^{\mathrm{2}{n}+\mathrm{1}} }\right){dx} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{equivalent}\:{of}\:{U}_{{n}} \left({n}\sim\infty\right) \\ $$$$\left.\mathrm{2}\right)\:{study}\:{the}\:{comvergence}\:{of}\:\Sigma\:{U}_{{n}} \\ $$

Question Number 168341 Answers: 1 Comments: 0

∫(1+x^2 )^3 dx=?

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

Question Number 168338 Answers: 1 Comments: 0

Question Number 168320 Answers: 0 Comments: 0

∫(((arcsin(x))^2 )/(1+x^2 ))dx=???

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

Question Number 168311 Answers: 0 Comments: 5

Calculate∫(((arcsin(x))^2 )/(1+x^2 ))dx

$${Calculate}\int\frac{\left({arcsin}\left({x}\right)\right)^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$

Question Number 168303 Answers: 2 Comments: 0

calculate ∫_0 ^1 x(√(1−x^6 ))dx

$${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {x}\sqrt{\mathrm{1}−{x}^{\mathrm{6}} }{dx} \\ $$

Question Number 168296 Answers: 2 Comments: 0

∫(5x+2)cos(2x)dx=?

$$\int\left(\mathrm{5}{x}+\mathrm{2}\right){cos}\left(\mathrm{2}{x}\right){dx}=? \\ $$

Question Number 168188 Answers: 4 Comments: 1

∫ ((1−sin 2x)/((1+sin 2x)^2 )) dx =?

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

Question Number 167989 Answers: 2 Comments: 0

∫ ((3−cos x)/(3+cos x)) dx =?

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\:\frac{\mathrm{3}−\mathrm{cos}\:{x}}{\mathrm{3}+\mathrm{cos}\:{x}}\:{dx}\:=? \\ $$

Question Number 167965 Answers: 1 Comments: 0

Question Number 167922 Answers: 4 Comments: 2

Find the value of Q if ∫_0 ^Q (√(cosec θ−1)) dθ=ln (((3+2(√2))/2))

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{Q}\:\:\mathrm{if} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{Q}} \sqrt{\mathrm{cosec}\:\theta−\mathrm{1}}\:\mathrm{d}\theta=\mathrm{ln}\:\left(\frac{\mathrm{3}+\mathrm{2}\sqrt{\mathrm{2}}}{\mathrm{2}}\right) \\ $$$$ \\ $$

Question Number 167912 Answers: 1 Comments: 0

∫^(π/4) _0 ((cos(12x))/(cos^(14) (x)))dx=?

$$\underset{\mathrm{0}} {\int}^{\frac{\pi}{\mathrm{4}}} \frac{{cos}\left(\mathrm{12}{x}\right)}{{cos}^{\mathrm{14}} \left({x}\right)}{dx}=? \\ $$

Question Number 167885 Answers: 0 Comments: 0

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