1. Is this integral formula valid
  2. Change of variable and Elliptic integral

  3. Area between two curves. Split so that it is equal.

  4. Why isn't $\int \frac{1}{x}~dx = \frac{x^0}{0}$?

  5. How to show that the volume of a cone with an arbitrary base is $(1/3)Bh$?

  6. show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$

  7. Calculate integral with help the Euler's integrals

  8. derivative w.r.t. x of area average A(x)
  9. Evaluate $\int_{0}^{\pi/2}\frac{x}{(a^2\cos^2x+b^2\sin^2x)}dx$

  10. Integrate $\int \frac{2x+7}{(x+1)(x^2+1)}dx$.

  11. Monotone and Continuous functions which do not provide tight bounds through Integration

  12. How to find closed form of the integral $\int_{-\infty}^{\infty}\frac{(c-x)e^{-a(b-x)^2}}{d + x^2}\,dx$?
  13. Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $

  14. What is the integral of $\frac{\arcsin x}{(1-x^2)^{3/2}}$?
  15. How to evaluate this anti-derivative?

  16. How to solve or approximate this special integral related to inverse gamma distribution

  17. Use fundamental theorem of calculus to prove ${f'(x)}=\lim_{n\to \infty}{f'_n(x)}$ for all $x\in{[a,b]}$
  18. Calculating $\int_0^{2\pi} \sin(nt)\cos(mt)dt$

  19. Integral of inverse of Polynomials
  20. Need help with an unusual surface area
  21. Why does this integral not depend on the parameter?

  22. Evaluating a double integral using Fubini's Theorem
  23. Step in the derivation of eigenvalue spacing of a 2 by 2 random matrix
  24. Constructing an oscillating function with a nonnegative integral

  25. Green's Theorem, calculate the integral

  26. Prove that $ \int_{0}^{c} \frac{\sin(\frac{x}{2})x~dx}{\sqrt{\cos(x) - \cos(c)}} = \sqrt{2} \pi \ln(\sec(\frac{c}{2}))$

  27. $e^{-c\sin \theta}$ integral evaluation

  28. Flux through surface (correct or not?)

  29. how to integrate $\sqrt{1-x^{2/3}}$

  30. Explicitly representing a random variable in terms of indicator functions

  31. When does $\int \limits_{\Bbb R} f \chi_{A} \,d\lambda$ = $\lambda$($A$) hold?

  32. Calculating the area of cardioid with trisectrix with green's theorem: Will the area of the loop be added twice? See picture inside
  33. Torus-cylinder intersection.

  34. Change of variable formula: Do we need standard machine?

  35. Real Analysis question that affects how to think about the Dirac delta function.

  36. Uniform continuous function integrable?
  37. How to use integration by parts to solve an integral?

  38. Integral of a sum dependent on the variable of integration

  39. compute integral for $n\ge 3$

  40. How can I solve this limit?(From AMM)
  41. A necessary condition on the parameterization of contours
  42. Question about volumes of rotation

  43. What does it mean that the probability is an integral in continuous probability?

  44. problem with solving this question involving integration

  45. Evaluate $\int_0^\infty{\frac{\tan x}{x^n}dx}$
  46. Error Expectations for Composite Simpson's Rule
  47. Relations between a function and its partial derivatives
  48. Test integral for convergence
  49. why probability densities which take on infinities for certain $x$ can still have finite integrals
  50. Integrating the derivative of the derivative squared

  51. How to derive Rayleigh distribution PDF?
  52. Is there a geometric interpretation of the product integral?

  53. Integration of $\int^2_0 x(8-x^3)^{1/3}dx$

  54. Show that function introduced by varying upper bound in Lebesgue integral is weakly differentiable
  55. Behavior of the Fourier coefficients at $\infty$ for a particular function $f$
  56. Integral over Unitary Group

  57. Finding limit of I(n)..

  58. Given a set of derivatives find the function

  59. Integral of a function avoiding hypergeometric functions
  60. Is there a coordinate transformation which splits the integral of a function equally?

  61. Confusion with derivate of integral

  62. Limit of integral that can't be integrated
  63. Can we change order of integration and differentiation here.
  64. Integrating a solid using cartesian, cylindrical and spherical coordinates

  65. Quick question on integration by parts

  66. How to prove: double integral equals zero

  67. Fourier transform of the logarithm in three dimensions

  68. Integral $ I=\int_{-r}^r \int_{-\sqrt{r^2-x^2}}^{\sqrt{r^2-x^2}} \sqrt{1 - \frac{x^2 + y^2}{x^2 + y^2 - r^2}} dy dx $
  69. Show that $J_0(x)=\sum\limits_0^\infty \frac{(-1)^n x^{2n}}{4^n(n!)^2}$ is $J_0(x)=\frac{1}{\pi}\int_0^\pi \cos(x\sin\theta)d\theta$

  70. Fourier transform of $ \log(x^{2}+a^{2}) $

  71. Integrating the following function

  72. How do I integrate these functions?

  73. What means $\int_\Gamma \alpha(\cdot,y)$?

  74. I need help with integrating $\int\frac{1}{(x^2-1)^2}dx$

  75. Geometric representation of Euler-Maclaurin Summation Formula
  76. How we can solve this :$y'(x)=\frac{y^3(x)}{y(x)+x}$?

  77. Integral of tan(x)
  78. Convolution and Riemann sum
  79. Change $p \rightarrow -p$ $ d^{3}p$ invariant

  80. Integration trick
  81. How to integrate $\int\frac{1}{t^4(1-t^2)}dt$

  82. Finding the Jacobian matrix of an integral?

  83. Relation between independent/dependent variable for substitution in ODE

  84. Are piecewise continuous functions locally integrable?

  85. Why does $\int_0^1\binom{2n}{n}x^n(1-x)^ndF(x)=\frac{1}{2n+1}$?
  86. Definite integral involving odd and even function.
  87. Solution of integral $\int \frac{\sin (x)}{\sin (5x) \sin (3x)}\,\mathrm dx.$
  88. Integrate $\int \frac{\sin^2x}{1 + \cos x}\,\mathrm dx.$

  89. Integrating $\int\frac{\sin^3x}{\cos x}\,\mathrm dx.$
  90. Integrate $\int\frac{Cx}{(\sin x^2)^2}\,\mathrm dx.$

  91. Integral of $\int \frac{\sin^22x}{\cos2x}\,\mathrm dx.$

  92. Volume of solid using double integration.
  93. How to learn integration and differentiation?

  94. Finding potential for a vector field

  95. Problem about Riemann lower sum in piecewise-defined function

  96. What measure/probability concepts need standard machine?
  97. $E(XY)=E(X)E(Y)$ and pull out property of conditional expectation without standard machine

  98. complex integration of log around circle not centered at origin

  99. Volume of solid using double integration in polar form.

  100. Solve the Neumann problem for the wave equation on the half line $-\infty < x <0 $.