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IntegrationQuestion and Answers: Page 53

Question Number 159315 Answers: 0 Comments: 1

∫ (dx/( (((x−1)^3 (x+2)^5 ))^(1/4) )) ?

$\int \frac{d x}{\sqrt[4]{{(x - 1)}^{3} {(x + 2)}^{5}}} ?$

Question Number 159297 Answers: 1 Comments: 1

Question Number 159233 Answers: 1 Comments: 0

Question Number 159226 Answers: 1 Comments: 0

Ω = ∫_0 ^∞ (((x^5 )^(1/6) −(√x))/((1+x^2 ) ln x)) dx =?

$Ω = \int_{0}^{\infty} \frac{\sqrt[6]{x^{5}} - \sqrt{x}}{(1 + x^{2}) \ln x} d x = ?$

Question Number 159143 Answers: 1 Comments: 0

Question Number 159106 Answers: 0 Comments: 0

∫_0 ^π ((sin(nz))/(z^4 sin(πz)))dz

$\int_{0}^{π} \frac{\sin (n z)}{z^{4} \sin (π z)} d z$

Question Number 159080 Answers: 1 Comments: 0

Σ_(n=0) ^∞ (1/(n!(n^4 +n^2 +1)))=?

$\underset{n = 0}{\sum^{\infty}} \frac{1}{n! (n^{4} + n^{2} + 1)} = ?$

Question Number 159070 Answers: 1 Comments: 0

Ω:= ∫_0 ^( ∞) ( H_( (i/x)) + H_( −(i/x)) ) dx=?

$Ω := \int_{0}^{\infty} (H_{\frac{i}{x}} + H_{- \frac{i}{x}}) d x = ?$

Question Number 159069 Answers: 0 Comments: 0

Question Number 159008 Answers: 1 Comments: 0

∫(6^x /(4^x +9^x ))dx=?

$\int \frac{6^{x}}{4^{x} + 9^{x}} d x = ?$

Question Number 158993 Answers: 0 Comments: 0

∫_0 ^1 ∫_0 ^1 xye^(x^2 y^2 ) dxdy=?

$\int_{0}^{1} \int_{0}^{1} {xye}^{x^{2} y^{2}} dxdy = ?$

Question Number 158990 Answers: 0 Comments: 0

∫ ((sec x)/(sin x+csc x−1)) dx=?

$\int \frac{\sec x}{\sin x + \csc x - 1} d x = ?$

Question Number 158973 Answers: 1 Comments: 0

Question Number 158965 Answers: 2 Comments: 0

∫ ((√(1+x))/( (√x) +1)) dx =?

$\int \frac{\sqrt{1 + x}}{\sqrt{x} + 1} d x = ?$

Question Number 158922 Answers: 0 Comments: 0

∫e^(sec x) sec^3 x(sin^2 x+cos x+sin x+sin x cos x)dx=?

$\int e^{\sec x} \sec^{3} x (\sin^{2} x + \cos x + \sin x + \sin x \cos x) d x = ?$

Question Number 158913 Answers: 0 Comments: 0

Question Number 158903 Answers: 0 Comments: 0

# solve # Φ:=∫_(−∞) ^( ∞) (( xsin(x))/(( 2+ x +x^( 2) )^( 2) )) dx =? −−−−−−−−

$You can't use 'macro parameter character #' in math mode$ $Φ := \int_{- \infty}^{\infty} \frac{x s i n (x)}{{(2 + x + x^{2})}^{2}} d x = ?$ $- - - - - - - -$

Question Number 158902 Answers: 0 Comments: 0

nice mathematics # calculate # Ω := Σ_(n=0) ^∞ (( 1)/(( 6n + 1 )^( 3) )) = ? −−−−−−−−−−−−

$n i c e m a t h e m a t i c s$ $You can't use 'macro parameter character #' in math mode$ $Ω := \underset{n = 0}{\sum^{\infty}} \frac{1}{{(6 n + 1)}^{3}} = ?$ $- - - - - - - - - - - -$

Question Number 158839 Answers: 2 Comments: 0

Evaluate the following integrals using integration By Parts 1. ∫_((π )/4) ^(π/2) xcsc^2 xdx 2. ∫_1 ^(√3) arctan((1/x))dx

$Evaluate the following integrals using$ $integration By Parts$ $1 . \int_{\frac{π}{4}}^{\frac{π}{2}} {x c s c}^{2} x d x$ $2 . \int_{1}^{\sqrt{3}} a r c t a n (\frac{1}{x}) d x$

Question Number 158822 Answers: 1 Comments: 0

Σ_(n=0) ^∞ arctan (((−1)^n )/(2n+1))=?

$\underset{n = 0}{\sum^{\infty}} \arctan \frac{{(- 1)}^{n}}{2 n + 1} = ?$

Question Number 158742 Answers: 1 Comments: 1

Question Number 158697 Answers: 1 Comments: 0

∫_0 ^1 ln(ln(1−x))dx=?

$\int_{0}^{1} l n (l n (1 - x)) d x = ?$

Question Number 158674 Answers: 0 Comments: 2

Question Number 158596 Answers: 1 Comments: 0

calculate : Ω = ∫_0 ^( (π/4)) (( 1+ tan^( 4) (x))/(cot^( 2) (x))) dx=?

$c a l c u l a t e :$ $Ω = \int_{0}^{\frac{π}{4}} \frac{1 + {t a n}^{4} (x)}{{c o t}^{2} (x)} d x = ?$

Question Number 158591 Answers: 0 Comments: 2

I=∫ (dx/(1+x^6 )) =?

$I = \int \frac{d x}{1 + x^{6}} = ?$

Question Number 158517 Answers: 0 Comments: 0

ϑ =∫_( 0) ^( π/2) (dx/((1+(1/(sin^2 x)))^2 )) ?

$ϑ = \int_{0}^{π / 2} \frac{d x}{{(1 + \frac{1}{\sin^{2} x})}^{2}} ?$

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