Question

Approximate the integral $I(x)=\int\limits_{0}^{\infty }\cos \left ( x\left ( t^2-t^4 \right ) \right )dt$

score 120 · Answer 1 · 2023-05-21 20:21:18

120

Views

Approximate the integral $I(x)=\int\limits_{0}^{\infty }\cos \left ( x\left ( t^2-t^4 \right ) \right )dt$

Published on 21 May 2023 - 20:21

score 108 · Answer 2 · 2023-05-22 08:35:46

108

Views

Asymptotic of the integral $\int\limits_{0}^{\infty }\cos \left ( ax+\frac{2b}{\sqrt{x}} \right )dx$

Published on 22 May 2023 - 8:35

score 134 · Answer 3 · 2023-05-22 11:17:23

134

Views

Method of steepest descent approximate the integral $I(\lambda )=\int\limits_{1}^{\infty }\left ( \frac{\ln x}{x} \right )^{\lambda }dx$

Published on 22 May 2023 - 11:17

score 116 · Answer 4 · 2023-05-22 13:20:01

116

Views

In the limit $\lambda \to \infty $ approximate the integral $I(\lambda )=\int_{-\infty }^{\infty }e^{-x^2}(\cosh x)^{\lambda }dx$

Published on 22 May 2023 - 13:20

score 80 · Answer 5 · 2023-05-22 15:13:39

80

Views

Calculate the integrals $\int\limits_{0}^{\infty }e^{-\lambda (x-1)^2}dx+\int\limits_{0}^{\infty }e^{-\lambda (x-2)^2}dx$

Published on 22 May 2023 - 15:13

score 43 · Answer 6 · 2023-05-23 10:22:32

43

Views

Approximation of integration of piecewise continuous function at discrete points

Published on 23 May 2023 - 10:22

score 60 · Answer 7 · 2023-05-25 07:38:41

60

Views

How can I (analytically or numerically) integrate the product of exp(-x) and fractionally degreed polynomials?

Published on 25 May 2023 - 7:38

score 59 · Answer 8 · 2023-05-28 02:23:26

59

Views

Determine whether rectangle/trapezoid area will be "overall" underestimate or overestimate in an interval

Published on 28 May 2023 - 2:23

score 57 · Answer 9 · 2026-03-25 09:22:22

57

Views

numerical spherical integration

Published on 25 Mar 2026 - 9:22

score 92 · Answer 10 · 2023-07-12 19:36:34

92

Views

Proof that the Trapezoidal Method for solving IVP is $O(h^3)$

Published on 12 Jul 2023 - 19:36

score 77 · Answer 11 · 2023-09-05 00:09:15

77

Views

Do numerical integration methods ever utilize evaluations of the derivative of the function?

Published on 05 Sep 2023 - 0:09

score 37 · Answer 12 · 2023-10-02 10:29:25

37

Views

Iterative formula for the integration of autonomous differential equations

Published on 02 Oct 2023 - 10:29

score 24 · Answer 13 · 2026-03-25 11:12:02

24

Views

How to integrate arbitrary discrete-time linear and angular body fixed velocity to world space?

Published on 25 Mar 2026 - 11:12

score 77 · Answer 14 · 2023-11-04 18:32:24

77

Views

Is the Monte Carlo integration method(s) actually a viable way to accurately integrate functions?

Published on 04 Nov 2023 - 18:32

score 30 · Answer 15 · 2023-11-16 19:46:56

30

Views

Midpoint rule integration for a matrix-vector product

Published on 16 Nov 2023 - 19:46

List Question

Approximate the integral $I(x)=\int\limits_{0}^{\infty }\cos \left ( x\left ( t^2-t^4 \right ) \right )dt$

Asymptotic of the integral $\int\limits_{0}^{\infty }\cos \left ( ax+\frac{2b}{\sqrt{x}} \right )dx$

Method of steepest descent approximate the integral $I(\lambda )=\int\limits_{1}^{\infty }\left ( \frac{\ln x}{x} \right )^{\lambda }dx$

In the limit $\lambda \to \infty $ approximate the integral $I(\lambda )=\int_{-\infty }^{\infty }e^{-x^2}(\cosh x)^{\lambda }dx$

Calculate the integrals $\int\limits_{0}^{\infty }e^{-\lambda (x-1)^2}dx+\int\limits_{0}^{\infty }e^{-\lambda (x-2)^2}dx$

Approximation of integration of piecewise continuous function at discrete points

How can I (analytically or numerically) integrate the product of exp(-x) and fractionally degreed polynomials?

Determine whether rectangle/trapezoid area will be "overall" underestimate or overestimate in an interval

numerical spherical integration

Proof that the Trapezoidal Method for solving IVP is $O(h^3)$

Do numerical integration methods ever utilize evaluations of the derivative of the function?

Iterative formula for the integration of autonomous differential equations

How to integrate arbitrary discrete-time linear and angular body fixed velocity to world space?

Is the Monte Carlo integration method(s) actually a viable way to accurately integrate functions?

Midpoint rule integration for a matrix-vector product

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