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IntegrationQuestion and Answers: Page 77

Question Number 142120 Answers: 2 Comments: 2

Question Number 142116 Answers: 2 Comments: 0

use trigonometric substitution to solve ∫(x^3 /( (√(9−x^2 ))))dx

$u s e t r i g o n o m e t r i c s u b s t i t u t i o n t o s o l v e$ $\int \frac{x^{3}}{\sqrt{9 - x^{2}}} d x$

Question Number 142060 Answers: 2 Comments: 0

Question Number 142028 Answers: 2 Comments: 0

............Calculus......... ∫_0 ^( ∞) ((sin(sin(x)).e^(cos(x)) )/x)dx=??? ............m.n.....

$. . . . . . . . . . . . C a l c u l u s . . . . . . . . .$ $\int_{0}^{\infty} \frac{s i n (s i n (x)) . e^{c o s (x)}}{x} d x = ? ? ?$ $. . . . . . . . . . . . m . n . . . . .$

Question Number 142103 Answers: 2 Comments: 0

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

$\int_{- \infty}^{\infty} \frac{{t a n}^{- 1} (\sqrt{x^{2} + 2})}{(x^{2} + 1) \sqrt{x^{2} + 2}} d x$

Question Number 141998 Answers: 2 Comments: 0

∫_0 ^(π/2) ((sin (40x))/(sin (5x))) dx

$\underset{0}{\int^{π / 2}} \frac{\sin (40 x)}{\sin (5 x)} d x$

Question Number 141946 Answers: 1 Comments: 0

....nice calculus... lim_(n→∞) n∫_0 ^( 1) (((2x)/(1+x)))^n =???

$. . . . n i c e c a l c u l u s . . .$ ${l i m}_{n \to \infty} n \int_{0}^{1} {(\frac{2 x}{1 + x})}^{n} = ? ? ?$

Question Number 141944 Answers: 4 Comments: 0

∫x^2 (√(9x^2 +25))dx

$\int x^{2} \sqrt{9 x^{2} + 25} d x$

Question Number 141943 Answers: 2 Comments: 0

∫(dx/(x(√(16−4x^2 ))))

$\int \frac{d x}{x \sqrt{16 - 4 x^{2}}}$

Question Number 141931 Answers: 2 Comments: 0

calculate ∫_0 ^∞ e^(−2x) ln(1+e^(3x) )dx

$calculate \int_{0}^{\infty} e^{- 2 x} \ln (1 + e^{3 x}) dx$

Question Number 141930 Answers: 0 Comments: 0

calculate ∫_0 ^∞ e^(−(x^3 +(1/x^3 ))) dx

$calculate \int_{0}^{\infty} e^{- (x^{3} + \frac{1}{x^{3}})} dx$

Question Number 141929 Answers: 1 Comments: 0

find ∫_0 ^∞ e^(−(t^2 +(1/t^2 ))) dt

$find \int_{0}^{\infty} e^{- (t^{2} + \frac{1}{t^{2}})} dt$

Question Number 141868 Answers: 1 Comments: 1

......Advanced .....Calculus........ ..... ∫_( R) ^ (e^(−x^2 ) /((1+x^2 )^2 )) dx=?

$. . . . . . A d v a n c e d . . . . . C a l c u l u s . . . . . . . .$ $. . . . . \int_{R}^{} \frac{e^{- x^{2}}}{{(1 + x^{2})}^{2}} d x = ?$

Question Number 141859 Answers: 2 Comments: 1

∫_0 ^∞ ((4e^(−x^2 ) )/((2x^2 +1)^2 )) dx

$\int_{0}^{\infty} \frac{4 e^{- x^{2}}}{{(2 x^{2} + 1)}^{2}} d x$

Question Number 141848 Answers: 4 Comments: 0

I = ∫ (1/( (√(1−x^2 ))−1)) dx

$I = \int \frac{1}{\sqrt{1 - x^{2}} - 1} d x$

Question Number 141847 Answers: 2 Comments: 0

I = ∫ ((sec x)/(1+csc x)) dx

$I = \int \frac{\sec x}{1 + \csc x} d x$

Question Number 142255 Answers: 1 Comments: 0

find the value of ∫_0 ^1 (√(x^4 −5x^2 +4)) dx? solution please.

$find the value of \int_{0}^{1} \sqrt{x^{4} - {5 x}^{2} + 4} dx ?$ $solution please .$

Question Number 142256 Answers: 1 Comments: 0

∫_0 ^∞ ((sinx)/x^(1−a) )dx

$\int_{0}^{\infty} \frac{s i n x}{x^{1 - a}} d x$

Question Number 141811 Answers: 1 Comments: 0

Θ:=(Σ_(n=1) ^∞ (n^4 /(2^n . n!)))^(1/2) =?

$Θ := {(\underset{n = 1}{\sum^{\infty}} \frac{n^{4}}{2^{n} . n!})}^{\frac{1}{2}} = ?$

Question Number 141757 Answers: 0 Comments: 1

Γ(n+(1/2))=(((√π)∙Γ(2n+1))/(2^(2n) Γ(n+1)))

$Γ (n + \frac{1}{2}) = \frac{\sqrt{π} \cdot Γ (2 n + 1)}{2^{2 n} Γ (n + 1)}$

Question Number 141755 Answers: 0 Comments: 0

Question Number 141719 Answers: 2 Comments: 0

∫_0 ^∞ (e^(−x^2 ) /((x^2 +(1/2))^2 ))dx=?

$\int_{0}^{\infty} \frac{e^{- x^{2}}}{{(x^{2} + \frac{1}{2})}^{2}} d x = ?$

Question Number 141713 Answers: 1 Comments: 0

Question Number 141691 Answers: 1 Comments: 0

....Calculus(I).... 𝛗:=∫_(1/(2 )) ^( 1) (1/(x^2 (1+x^4 )^(3/4) ))dx=???

$. . . . C a l c u l u s (I) . . . .$ $ϕ := \int_{\frac{1}{2}}^{1} \frac{1}{x^{2} {(1 + x^{4})}^{\frac{3}{4}}} d x = ? ? ?$

Question Number 141685 Answers: 1 Comments: 0

......nice ... ... ... calculus..... If lim_(x→0) ((tan(x))/x) = 1 , prove that: lim(1/x)((1/x)−(1/(tan(x))))=(1/3)

$. . . . . . n i c e . . . . . . . . . c a l c u l u s . . . . .$ $I f {l i m}_{x \to 0} \frac{t a n (x)}{x} = 1, p r o v e t h a t :$ $l i m \frac{1}{x} (\frac{1}{x} - \frac{1}{t a n (x)}) = \frac{1}{3}$

Question Number 143167 Answers: 2 Comments: 0

∫arctan((√((√x)+1)))dx=??? propose′ par Rodrigue

$\int a r c t a n (\sqrt{\sqrt{x} + 1}) d x = ? ? ?$ ${p r o p o s e}^{'} p a r R o d r i g u e$

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