Question

Finding a moment generating function for a continuous random variable defined by its pdf.

score 564 · Answer 1 · 2026-03-27 14:57:36

564

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Finding a moment generating function for a continuous random variable defined by its pdf.

Published on 27 Mar 2026 - 14:57

score 226 · Answer 2 · 2026-04-04 20:25:58

226

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proof: $\lim_{n\rightarrow \infty } \int_{0}^{a}f(nx)dx = aL$ when $\lim{x\to\infty }f(x)= L$

Published on 04 Apr 2026 - 20:25

score 30 · Answer 3 · 2020-03-26 18:54:22

30

Views

Illogical Improper integral with parameter?

Published on 26 Mar 2020 - 18:54

score 73 · Answer 4 · 2020-03-26 19:03:55

73

Views

$e^{-x^4\sin^2x}\in L_2(R)$ proving $\int_{-\infty}^{\infty} e^{-2x^4\sin^2x}dx < \infty$

Published on 26 Mar 2020 - 19:03

score 204 · Answer 5 · 2020-03-26 20:10:25

204

Views

Compute $\int_{0}^{\infty} \frac{\arctan{x}}{1+x} \frac{dx}{\sqrt[4]{x}}$

Published on 26 Mar 2020 - 20:10

score 56 · Answer 6 · 2020-03-26 23:10:43

56

Views

Differential and integral calculus. Improper integral.

Published on 26 Mar 2020 - 23:10

score 40 · Answer 7 · 2020-03-27 06:20:28

40

Views

Doubt about integration substitution

Published on 27 Mar 2020 - 6:20

score 68 · Answer 8 · 2020-03-27 20:15:07

68

Views

what is the limit of: $\lim_{t \to 0}(\frac{1}{b-a}\int_{a}^{b}\left |f \right |^{t}(x)dx)^{\frac{1}{t}}$?

Published on 27 Mar 2020 - 20:15

score 46 · Answer 9 · 2020-03-27 22:03:37

46

Views

Using comparison theorem

Published on 27 Mar 2020 - 22:03

score 125 · Answer 10 · 2020-03-28 04:24:37

125

Views

Integral $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{\sin^2 x}{1+\sin^4 x}{\rm d}x$

Published on 28 Mar 2020 - 4:24

score 42 · Answer 11 · 2020-03-29 17:12:19

42

Views

Evaluate and find the limit of an improper integral

Published on 29 Mar 2020 - 17:12

score 184 · Answer 12 · 2020-03-29 18:10:19

184

Views

Proving an improper integral inequality involving an exponential and a cosine

Published on 29 Mar 2020 - 18:10

score 49 · Answer 13 · 2026-03-25 08:12:45

49

Views

total variation of sinc function

Published on 25 Mar 2026 - 8:12

score 75 · Answer 14 · 2026-03-31 01:02:49

75

Views

Finding a closed form for this integral

Published on 31 Mar 2026 - 1:02

score 50 · Answer 15 · 2020-03-30 12:17:42

50

Views

Is the comparison test the same from infinity to $a$ and $a$ to infinity?

Published on 30 Mar 2020 - 12:17

List Question

Finding a moment generating function for a continuous random variable defined by its pdf.

proof: $\lim_{n\rightarrow \infty } \int_{0}^{a}f(nx)dx = aL$ when $\lim{x\to\infty }f(x)= L$

Illogical Improper integral with parameter?

$e^{-x^4\sin^2x}\in L_2(R)$ proving $\int_{-\infty}^{\infty} e^{-2x^4\sin^2x}dx < \infty$

Compute $\int_{0}^{\infty} \frac{\arctan{x}}{1+x} \frac{dx}{\sqrt[4]{x}}$

Differential and integral calculus. Improper integral.

Doubt about integration substitution

what is the limit of: $\lim_{t \to 0}(\frac{1}{b-a}\int_{a}^{b}\left |f \right |^{t}(x)dx)^{\frac{1}{t}}$?

Using comparison theorem

Integral $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{\sin^2 x}{1+\sin^4 x}{\rm d}x$

Evaluate and find the limit of an improper integral

Proving an improper integral inequality involving an exponential and a cosine

total variation of sinc function

Finding a closed form for this integral

Is the comparison test the same from infinity to $a$ and $a$ to infinity?

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