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IntegrationQuestion and Answers: Page 20

Question Number 200257 Answers: 1 Comments: 0

Question Number 200256 Answers: 0 Comments: 0

Question Number 200254 Answers: 1 Comments: 0

calculate ... Ω = ∫_(∫_0 ^( (π/2)) ln(tan(x))dx) ^( ∫_0 ^( ∞) ((sin^2 (x))/x^2 ) dx) ln(sin(x))dx=?

$c a l c u l a t e . . .$ $Ω = \int_{\int_{0}^{\frac{π}{2}} \ln (\tan (x)) d x}^{\int_{0}^{\infty} \frac{\sin^{2} (x)}{x^{2}} d x} \ln (\sin (x)) d x = ?$

Question Number 200253 Answers: 2 Comments: 0

Question Number 200250 Answers: 2 Comments: 0

Question Number 200159 Answers: 1 Comments: 2

Question Number 200155 Answers: 2 Comments: 0

Question Number 200130 Answers: 2 Comments: 0

solve by contour integrstion ∫_0 ^(2π) (dx/(1+acosx))

$s o l v e b y c o n t o u r i n t e g r s t i o n$ $\int_{0}^{2 π} \frac{d x}{1 + a \cos x}$

Question Number 200048 Answers: 0 Comments: 2

Question Number 200061 Answers: 1 Comments: 0

∫_(−∞) ^(+∞) ((xsinx )/((x^2 +1)(x^2 +4)))dx = ??

$\int_{- \infty}^{+ \infty} \frac{x \sin x}{(x^{2} + 1) (x^{2} + 4)} d x = ? ?$

Question Number 199942 Answers: 1 Comments: 0

Question Number 199934 Answers: 2 Comments: 0

$\underset{―}{\underset{⏟}{}}$

Question Number 199921 Answers: 1 Comments: 0

Question Number 199907 Answers: 1 Comments: 0

∫ (dx/( (√x) + (x)^(1/3) )) =?

$\int \frac{dx}{\sqrt{x} + \sqrt[3]{x}} = ?$

Question Number 199903 Answers: 2 Comments: 1

∫((x^2 dx)/( (√(x^2 −16)))) = ?

$\int \frac{x^{2} d x}{\sqrt{x^{2} - 16}} = ?$

Question Number 199598 Answers: 0 Comments: 0

Question Number 199570 Answers: 1 Comments: 0

I = ∫_0 ^(π/2) tan^(−1) (((sinx )/2))dx

$I = \int_{0}^{π / 2} \tan^{- 1} (\frac{\sin x}{2}) d x$

Question Number 199471 Answers: 1 Comments: 0

Find the integral ∫_(−3) ^3 { ((x^3 −x),((x≤0))),(x^2 ,((x≥0))) :}dx

$F i n d t h e i n t e g r a l$ $\int_{- 3}^{3} {\begin{cases} x^{3} - x & (x \leq 0) \\ x^{2} & (x \geq 0) \end{cases} d x$

Question Number 199468 Answers: 1 Comments: 0

Question Number 199377 Answers: 1 Comments: 0

∫∫_R cos (max{x^3 , y^(3/2) })dx dy , where R = [0,1]×[0,1]

$\int \int_{R} \cos (\max {x^{3}, y^{3 / 2}}) dx dy, where R = [0, 1] \times [0, 1]$

Question Number 199369 Answers: 0 Comments: 0

∫_(−1) ^1 ∫_(−(√(1−x^2 ))) ^(√(1−x^2 )) ∫_(1−(√(1−x^2 −y^2 ))) ^(1+(√(1−y^2 ))) (x^2 +y^2 +z^2 )^(5/2) dx dy dz is

$\int_{- 1}^{1} \int_{- \sqrt{1 - x^{2}}}^{\sqrt{1 - x^{2}}} \int_{1 - \sqrt{1 - x^{2} - y^{2}}}^{1 + \sqrt{1 - y^{2}}} {(x^{2} + y^{2} + z^{2})}^{5 / 2} d x d y d z i s$

Question Number 199213 Answers: 1 Comments: 0

Question Number 199162 Answers: 0 Comments: 0

x=−2(√3)∫y^3 (√(1+(1/y))) dy Find ∫x(y)dy .

$x = - 2 \sqrt{3} \int y^{3} \sqrt{1 + \frac{1}{y}} d y$ $F i n d \int x (y) d y .$

Question Number 198948 Answers: 2 Comments: 0

∫_1 ^3 ((x−2)/(x^2 −4x)) dx= ....

$\int_{1}^{3} \frac{x - 2}{x^{2} - 4 x} dx = . . . .$

Question Number 198929 Answers: 0 Comments: 0

Question Number 198802 Answers: 1 Comments: 0

radius r circle ; x^2 +y^2 +z^2 =r^2 F^ (x,y,z)=yze_1 ^ +xe_2 ^ −xye_3 ^ Find flux 𝛒=∫∫_( 𝚺) F^ ∙n^ dS

$radius r circle; x^{2} + y^{2} + z^{2} = r^{2}$ $\hat{F} (x, y, z) = y z {\hat{e}}_{1} + x {\hat{e}}_{2} - x y {\hat{e}}_{3}$ $Find flux ρ = \int \int_{Σ} \hat{F} \cdot \hat{n} d S$

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