integration

  1. Is there a solution possible for the following integral?

  2. Convergence of an improper integral $ \log( 1 + 2\operatorname{sech}x)$

  3. Integrating definite integral $\int_a^\infty \frac{1}{\log (t)} \, dt$ and then $\int_a^\infty \frac{e^{-st}}{\log (t)} \, dt$

  4. An integral involving $\ln(3)$

  5. convergent or divergent $\int_{-4}^{1} \frac{dz}{(z + 3)^3}$

  6. Solving the integral

  7. Laplace method for $\int_0^1 e^{a(x-1)}\ln(-\ln(x))$

  8. Improper integral for $x^{-a} \sin(x)$ for $1<a<2$

  9. How to calculate integrals lilke $\int \frac{(2x+3)^C}{\sqrt x}dx$
  10. Error in $\int\limits_0^{\infty}dx\,\frac {\log^2 x}{a^2+x^2}$

  11. How to compute the integral of $\int \sin(1-x^2)\,dx$
  12. Involving Euler's constant and Gamma function

  13. Is convergent $\int_0^{+\infty}\sin\log\left(\frac{f(x)}{xf'(x)}\right)dx$, if $f(x)$ is of slow increase in spirit of Jakimczuk's definition?

  14. How was the Fubini theorem used to calculate this integral?

  15. Triple integrals with polar coordinates.

  16. Finding the mass of a body with changing density
  17. Inverse fourier transform of $ 1/(1+s^2)$

  18. solve integral :

  19. Integrate bivariate normal distribution over circular region in two differents cartesian frames
  20. Closed form of $\int_0^1 \tan(\gamma\sqrt{1-x^2}) dx$
  21. Closed form exists in term of $\gamma$

  22. Prove only by transformation that: $ \int_0^\infty \cos(x^2) dx = \int_0^\infty \sin(x^2) dx $
  23. Close form solution for $\int_0^{\infty } \frac{2 \sin \left(\frac{n}{x}\right)}{-1+e^{2 \pi x}} \, dx$
  24. Finding the area swept out by a polar equation

  25. Another arctan integral

  26. Interchanging the limit with the Riemann-Stieltjes Integral
  27. Calculating MISE

  28. How to get the Y of an X from exponential distribution function ? (Mean Integrated Squared Error)
  29. Gauss integration
  30. Evaluate the indefinite integral $\int\frac{(x(\pi + 49))^{\frac{15}{7}}}{\pi ^ {2} (x^{\pi}+7)} dx $

  31. Regularity of Cramer-Rao inequality for unbiased estimators
  32. Evaluate the indefinite integral $\int\frac{((\arccos{(x)})(\sqrt{1-x^2}))^{-1}}{\ln{(1+\frac{\sin{(2x\sqrt{1-x^2})}}{\pi}})}dx$

  33. Easy integral with cube root

  34. Calculating constant

  35. Solving the Differential equation: $y'=\frac{2}{x}y+x^3$

  36. Fourier series of $\arccos(\lambda\cos x$)
  37. Find the area of the domain bounded by $ y^2-x^2+x^4=0$

  38. completion of square algebra

  39. Question about Finding Area Under Curves
  40. Is $f(0)$ finite?

  41. Length of the line segment given by the equation $y=x$ in the unit disk the Poincaré metric
  42. An approximation of the real part of $\int_0^{\pi/2}x\left(-1+\sin x\right)^{\log x} dx$
  43. Derivation of Shell Method
  44. Question about the following vector belongs to the range space of the linear operator or not?

  45. Reference for Kalman-Ho-Narendra Theorem

  46. Fractional Sobolev spaces $H^s$ and $H^1$
  47. Difference of two exponentials
  48. How to show that this integral is $0$?

  49. Integral involving $\phi$
  50. Can be iteratedly integrate w.r.t. all direction $\Rightarrow$ integrable?
  51. Brutal gaussian integral of death $\int_{\mathbb{R}} x \Phi(x) \phi(Bx-b)$
  52. Help deriving linear regression algorithm for fitting triexponential function

  53. Using Stokes' Theorem to evaluate an integral around a triangular path
  54. Convolution Integration
  55. help with polynomial to the $2$ power integration.

  56. volume of solid by rotating the region by given curves

  57. Another integral of result $\ln {3}$

  58. What's the difference between "quadrature" and "integration"?
  59. Volume of a horizontal cylinder using height of liquid
  60. Line Integral of Vector Field without parametrization?

  61. Bounds for the exponential integral

  62. Finding all Dimensions where $\frac{1}{|x|}$ is locally integrable
  63. Stokes' theorem proof without FTC

  64. Evaluate the following: $ \int x\arctan(\frac{\sqrt{x^2+c}+d}{x})dx$
  65. The Euler-Poisson equation
  66. A probabilistic average integral
  67. Integral without numerical calculation of $ I = \int_{0}^{\frac{\pi}{2}} \frac{\sin\left(4\,\cos^2\theta\right)}{2}\,\text{d}\theta$

  68. A 1-form on a smooth manifold is exact if and only if it integrates to zero on every closed curve

  69. Integrability for $\ p_\alpha (x):=\|x\|_2^\alpha$ on different domains

  70. Evaluating $\lim_{n\rightarrow \infty}\int_0^\infty \frac{e^{\sin(\ln(x))}}{1+\sqrt nx^{42}}dx $

  71. How to calculаte $\int_{\ln\sqrt{8}} ^{\ln\sqrt{24}}\sqrt{1+e^{2x}} \, dx$
  72. How to calculate the intеgral?

  73. Apriori Bound of $L^2$-norm of ODE
  74. On a certain integral that involves a product of powers of logarithms.

  75. Question about Green's theorem and flux

  76. How to solve $y'(t) = a y(t) \cdot (b - y(t))$?

  77. Find $\int_\gamma \frac{dz}{(z-\frac{1}{2}-i)(z-1-\frac{3i}{2})(z-1-\frac{i}{2})(z-\frac{3}{2}-i)}\, $

  78. Integrated Legendre polynomials

  79. Prove that $f$ integrable and $\lim\limits_{x\to\infty } f(x)=0$ implies $\lim_{b\to\infty}\frac{1}{b}\int_0^b f(x)\,dx=0$

  80. How to find the volume of the solid with integral?

  81. Solving Riemann-Stieltjes integral

  82. How to prove that: $\lim_{n\to\infty}\frac1{n!}\int_0^ne^{-t}t^n\,dt.=\frac{1}{2}$

  83. How to compute $\int_0^\infty \frac{\ln (1+x^2y^2)}{1+x^2} dx$

  84. Arc Length of an Ellipse using integration
  85. Show that $f$ is integrable iff $\sum\limits_{n\in\mathbb{Z}}2^n \mu(\{x\in S:2^n< \left|f(x)\right|\leq2^{n+1}\})<\infty.$

  86. how to prove this problem
  87. given $I_{n}=\int^1_{0}x^n\sqrt{1-x^2}dx$, then finding value of $ \frac{I_{n}}{I_{n-2}}$
  88. Definition of the term "De Rham map"

  89. What is a closed form for ${\large\int}_0^1\frac{\ln^3(1+x)\,\ln^2x}xdx$?
  90. Calculus - Indefinite integration Find $\int \sqrt{\cot x} +\sqrt{\tan x}\,dx$
  91. Integrals question
  92. integrating a 2-form over the sphere
  93. Evaluating: $\int 3x\sin\left(\frac x4\right) \, dx$.
  94. Integration of function over k.

  95. Non-negative function with infinitely many positive values -- must integral be positive?

  96. Scalar surface integral help.
  97. Bromwich-Hankel path

  98. Integrating $\int_{x_1}^{x_2}\sqrt{1+(2at-a(x_1+x_2))^2}\,dt$
  99. How to evaluate $\int_{0}^{\infty}\frac{1-e^{-ax^2}}{xe^{x^4}}dx$ , $a >- 1$

  100. How do I find a region bound by three planes and a parabolic cylinder?