Question

Evaluate the integral $\int_0^\infty \frac{\sin(ax)}{x} \frac{\sin(bx)}{x}e^{-kx}dx$

score 153 · Answer 1 · 2026-03-26 01:10:44

153

Views

Evaluate the integral $\int_0^\infty \frac{\sin(ax)}{x} \frac{\sin(bx)}{x}e^{-kx}dx$

Published on 26 Mar 2026 - 1:10

score 130 · Answer 2 · 2018-05-14 12:18:42

130

Views

Is $\int_{0}^{\infty} \sin(x) dx$ unbounded?

Published on 14 May 2018 - 12:18

score 86 · Answer 3 · 2018-05-15 15:00:53

86

Views

Test the convergence of an improper integral

Published on 15 May 2018 - 15:00

score 402 · Answer 4 · 2026-03-25 08:10:02

402

Views

Finding closed form of $\int_{-\infty}^{\infty}\frac{dx}{x^{2n}+1}$

Published on 25 Mar 2026 - 8:10

score 235 · Answer 5 · 2018-05-17 13:45:22

235

Views

Convergent integral of divergent exponential function

Published on 17 May 2018 - 13:45

score 208 · Answer 6 · 2026-03-24 23:48:11

208

Views

Minimum value of volume of solid created by rotating $f(x) = \frac{p^2}{x^p}$ about $x$-axis from $[1,\infty)$

Published on 24 Mar 2026 - 23:48

score 96 · Answer 7 · 2018-05-18 08:54:32

96

Views

Functions such that $\lim_{n\to\infty}\frac{1}{n}(f(\frac{x}{n})+f(\frac{2x}{n})+...+f(\frac{nx}{n}))$=$f(x)$

Published on 18 May 2018 - 8:54

score 36 · Answer 8 · 2018-05-18 15:32:28

36

Views

Convergence of $\int_{-\infty}^{\infty} \frac{e^{-\frac 12 (x^2 - (1-a)^2)}}{\sqrt{a^2 + x^2}\sqrt{(1-a)^2 + x^2}}dx, \ a<0$

Published on 18 May 2018 - 15:32

score 1.5k · Answer 9 · 2026-03-25 20:12:49

1.5k

Views

Integral with singularity on the real axis with complex integration

Published on 25 Mar 2026 - 20:12

score 369 · Answer 10 · 2026-03-25 20:15:20

369

Views

Integration of a divergent integral using the Cauchy Principal Value

Published on 25 Mar 2026 - 20:15

score 242 · Answer 11 · 2026-03-26 03:12:40

242

Views

About an interesting improper integral $\int_{0}^{\infty} \frac{x dx}{1+x^6 \sin^2 x}$

Published on 26 Mar 2026 - 3:12

score 34 · Answer 12 · 2026-03-25 12:54:19

34

Views

What's wrong way the way that I parametrized the torus

Published on 25 Mar 2026 - 12:54

score 147 · Answer 13 · 2018-05-20 12:08:45

147

Views

Integrating $\int^\infty_ 0\frac{x^2}{e^{x^2} - 1}\,\mathrm dx$

Published on 20 May 2018 - 12:08

score 319 · Answer 14 · 2018-05-20 17:42:20

319

Views

$\int_\limits{1}^{\infty}\frac{\cos x}{x^{\alpha}}dx$ diverges or converges?

Published on 20 May 2018 - 17:42

score 45 · Answer 15 · 2018-05-20 18:02:26

45

Views

Why does a u-sub go wrong when finding values for q such that $\int_{1}^\infty x^q e^{x^{q+1}} dx$ converges or diverges?

Published on 20 May 2018 - 18:02

List Question

Evaluate the integral $\int_0^\infty \frac{\sin(ax)}{x} \frac{\sin(bx)}{x}e^{-kx}dx$

Is $\int_{0}^{\infty} \sin(x) dx$ unbounded?

Test the convergence of an improper integral

Finding closed form of $\int_{-\infty}^{\infty}\frac{dx}{x^{2n}+1}$

Convergent integral of divergent exponential function

Minimum value of volume of solid created by rotating $f(x) = \frac{p^2}{x^p}$ about $x$-axis from $[1,\infty)$

Functions such that $\lim_{n\to\infty}\frac{1}{n}(f(\frac{x}{n})+f(\frac{2x}{n})+...+f(\frac{nx}{n}))$=$f(x)$

Convergence of $\int_{-\infty}^{\infty} \frac{e^{-\frac 12 (x^2 - (1-a)^2)}}{\sqrt{a^2 + x^2}\sqrt{(1-a)^2 + x^2}}dx, \ a<0$

Integral with singularity on the real axis with complex integration

Integration of a divergent integral using the Cauchy Principal Value

About an interesting improper integral $\int_{0}^{\infty} \frac{x dx}{1+x^6 \sin^2 x}$

What's wrong way the way that I parametrized the torus

Integrating $\int^\infty_ 0\frac{x^2}{e^{x^2} - 1}\,\mathrm dx$

$\int_\limits{1}^{\infty}\frac{\cos x}{x^{\alpha}}dx$ diverges or converges?

Why does a u-sub go wrong when finding values for q such that $\int_{1}^\infty x^q e^{x^{q+1}} dx$ converges or diverges?

Trending Questions

Popular # Hahtags

Popular Questions