Question

Determine the values of $p$ and $q$ for which a certain integral converges

score 223 · Answer 1 · 2019-02-28 10:13:11

223

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Determine the values of $p$ and $q$ for which a certain integral converges

Published on 28 Feb 2019 - 10:13

score 110 · Answer 2 · 2019-02-28 13:22:19

110

Views

How to integrate $\int_{t_2}^{t_1} \exp(-\sqrt{a^2+z^2}) dz$?

Published on 28 Feb 2019 - 13:22

score 1k · Answer 3 · 2019-03-01 11:07:30

1k

Views

Calculate the value for the following improper integral

Published on 01 Mar 2019 - 11:07

score 62 · Answer 4 · 2019-03-01 23:09:38

62

Views

How can one figure out whether $\int_1^{\infty} \frac{1+x+\ln x}{1+e^x} dx$ converges or diverges?

Published on 01 Mar 2019 - 23:09

score 73 · Answer 5 · 2019-03-02 16:51:40

73

Views

How to integrate $\int_{-\infty}^{\infty} x^ne^{x-x^2} dx$

Published on 02 Mar 2019 - 16:51

score 53 · Answer 6 · 2019-03-02 22:30:18

53

Views

Find $k\in\Bbb R$ if $\lim_{x\to0}\frac{1-\cos(kx)}{x^2}=\int_0^\infty xe^{-x}\,\mathrm dx$

Published on 02 Mar 2019 - 22:30

score 36 · Answer 7 · 2026-03-27 05:58:51

36

Views

How can you define the exponential and logarithmic integrals in terms of the incomplete gamma function?

Published on 27 Mar 2026 - 5:58

score 448 · Answer 8 · 2019-03-03 20:45:28

448

Views

Show $f(x) = 1/x$ is in $L^2\left([1, +\infty)\right)$ but not in $L^1\left([1, +\infty)\right)$.

Published on 03 Mar 2019 - 20:45

score 44 · Answer 9 · 2019-03-04 11:44:19

44

Views

Improper integrals - evaluate

Published on 04 Mar 2019 - 11:44

score 45 · Answer 10 · 2019-03-04 12:22:35

45

Views

Is the convergence test for integrals limited to series and improper integrals?

Published on 04 Mar 2019 - 12:22

score 308 · Answer 11 · 2019-03-04 18:47:20

308

Views

Calculate in closed form: $\int_{0}^{\pi/2}\arctan\left(\frac{1}{\sqrt{2\sin x}}\right)dx$

Published on 04 Mar 2019 - 18:47

score 103 · Answer 12 · 2019-03-05 10:12:05

103

Views

Calculation marginal density functions given a multi-variable PDF

Published on 05 Mar 2019 - 10:12

score 1.7k · Answer 13 · 2026-03-28 12:31:17

1.7k

Views

Laplace transform coming out to infinity

Published on 28 Mar 2026 - 12:31

score 44 · Answer 14 · 2019-03-05 18:04:28

44

Views

value of λ so that the improper integral exists

Published on 05 Mar 2019 - 18:04

score 31 · Answer 15 · 2026-03-29 23:42:07

31

Views

how can we calculate the integral

Published on 29 Mar 2026 - 23:42

List Question

Determine the values of $p$ and $q$ for which a certain integral converges

How to integrate $\int_{t_2}^{t_1} \exp(-\sqrt{a^2+z^2}) dz$?

Calculate the value for the following improper integral

How can one figure out whether $\int_1^{\infty} \frac{1+x+\ln x}{1+e^x} dx$ converges or diverges?

How to integrate $\int_{-\infty}^{\infty} x^ne^{x-x^2} dx$

Find $k\in\Bbb R$ if $\lim_{x\to0}\frac{1-\cos(kx)}{x^2}=\int_0^\infty xe^{-x}\,\mathrm dx$

How can you define the exponential and logarithmic integrals in terms of the incomplete gamma function?

Show $f(x) = 1/x$ is in $L^2\left([1, +\infty)\right)$ but not in $L^1\left([1, +\infty)\right)$.

Improper integrals - evaluate

Is the convergence test for integrals limited to series and improper integrals?

Calculate in closed form: $\int_{0}^{\pi/2}\arctan\left(\frac{1}{\sqrt{2\sin x}}\right)dx$

Calculation marginal density functions given a multi-variable PDF

Laplace transform coming out to infinity

value of λ so that the improper integral exists

how can we calculate the integral

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