Calculus

Integrals and Series

1. Euler Sum
2. A tough integral
3. A series  evaluation  
4. Alternating series
5. Double Integral
6. Series
7. Integral involving a logarithm
8. Evaluating sum
9. Alternating Euler Sum
10. Improper Integral 
11. From Russian Mathematical Olympiad 
12. Coxeter Integral
13. Integral arising from Fourier Series
14. Integral and logarithm
15. Integral with floor function 
16. An integral with arccosine 
17. On polygamma reflection formula 
18.  Series of Bessel function  
19.  Estimation of series 
20.  A limit 
21. Improper integral 
22. Closed form of a sum 
23. Ramanujan's result 
24. Infinite product 
25. Contour integral 
26. Definite integral
27. Evaluation of integral  
28. Integral with arctangents
29. Improper integral with logarithm
30. An integral with arctan
31. An integral involving Somphomore's Dream Constant
32. A generalized form of integral
33. Integral and trilogarithm 
34. Logarithmic integral 
35. Improper integral with logarithm 
36. Integral with digamma 
37. Contour integral and residue at infinity 
38. Definite integral
39. Fresnel integrals
40. Improper integral with sinus
41. Integral with trigonometric
42. The consequences of π 
43. An inverse tanh integral 
44. A squared sum and integral 
45. A definite arctan squared integral  
46. Log. Integral 
47. An $n$ dimensional integral  
48. Definite integral with parameter 
49. A relation with complex unity and logs. 
50. A digamma series 
51. Logarithmic integral and Euler sums 
52. A Fibonacci sum 
53. Trigonometric mixed with exponential integral 
54. A generalized integral 
55. Integral with fractional part
56. Alternating binomial series
57. An Euler trigonometric sum
58. A sinh integral
59. An integral with log. and arctan
60. An Euler non linear sum 
61. A closed form for a generalized sin integral 
62. A squared log. integral 
63. A definite integral 
64. A definite symmetric integral 
65. Logarithmic improper integral
66. Integral with logarithm and exponential
67. $\int_0^{\pi/2} \frac{\log \cos x}{\tan x}\, dx$
68. On a relation between Euler sums
69. Parametric integral with logarithm
70. $\int_0^\infty \frac{\sin^2 (\tan x)}{x^2}\, dx$
71. Α weird infinite product 
72. A zeta series
73. An arctan integral
74. Double lattice sums
75. Double exponential integral
76. A series with factorials
77. Double alternating sum
78. Series
79. Dirichlet Series
80. Α $\zeta(2n+1)$ series
81. $\sum \limits_{n=1}^{\infty} (\zeta(2n) - \beta(2n))$
82. Alternating series with eta
83. Integral with dilogarithm
84. $ \int_{0}^{\pi/2} \frac{\log^2 \left ( \tan x \right )}{\sin^2 \left ( x- \frac{\pi}{4} \right )} \;dx$
85. An equality of two finite sums
86. Integral with logarithm
87. Series with trilogarithm
88. Integral with log and trigonometric 
89. A log integral 
90. A beautiful double sum 
91. Double alternating sum 
92. Probably a beauty and a beast 
93. A very interesting integral