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15
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Gaussian Quadrature and Error $O(h^4)$

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#integration #asymptotics #truncation-error #numerical-calculus
160
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Show that $ \int_{0}^{\infty}\left| \frac{\sin x}{x }\right| dx = ∞ $

Published on
#integration
159
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Improper integral for a one sided limit (Using CT)

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#calculus #integration #convergence-divergence #improper-integrals
570
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Differentiation under the Integration Sign

Published on
#integration #derivatives
45
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An intricate integral involving indicator functions

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#integration
61
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Prove that $\lim_{n\to \infty} \int_{a}^{b}f(nx)dx=\frac{b-a}{T}\int_{0}^{T}f(t)dt.$

Published on
#real-analysis #integration
97
Views

Stochastic Geometry : Obtaining an Integral

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#calculus #integration #hypergeometric-function #moment-generating-functions
38
Views

Convergence of an Integral iff another Integral Converges

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#real-analysis #integration #convergence-divergence
87
Views

Integrate $\int_{-\infty}^\infty xe^{-3x^{2}}\cos xdx$

Published on
#integration
192
Views

Show that $\lim_\limits{n\to \infty} \int_{a}^{b}f(x)\cos(nx)dx=0$

Published on
#real-analysis #integration #estimation
107
Views

Apparent paradox in the use of certain integration formulas

Published on
#calculus #integration #limits
69
Views

proving that an improper integral diverges

Published on
#calculus #integration
96
Views

Why does $\int_0^1\binom{2n}{n}x^n(1-x)^ndF(x)=\frac{1}{2n+1}$?

Published on
#probability #integration #binomial-theorem #binomial-distribution
132
Views

Laplace Transform under the integral

Published on
#integration #laplace-transform
88
Views

Understanding $\int_\limits{0}^{1}\frac{1}{|t-s|^{\frac{1}{3}}}ds$

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#calculus #real-analysis #integration

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