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Improper integrals Question

score 62 · Answer 1 · 2026-04-11 10:38:51

62

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Improper integrals Question

Published on 11 Apr 2026 - 10:38

score 304 · Answer 2 · 2026-04-15 02:27:00

304

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Improper Integral Question $ \int^{\infty}_0 \frac{\mathrm dx}{1+e^{2x}}$

Published on 15 Apr 2026 - 2:27

score 1.1k · Answer 3 · 2026-04-16 05:33:19

1.1k

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Improper integral $\int_0^3 \frac{dx}{(x-1)^{2/3}}$

Published on 16 Apr 2026 - 5:33

score 494 · Answer 4 · 2026-04-14 08:50:21

494

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Improper Integral Question $\int_0^1 \ln\sqrt{x}dx $

Published on 14 Apr 2026 - 8:50

score 254 · Answer 5 · 2026-04-16 10:47:58

254

Views

Improper Integral $\int_{1/e}^1 \frac{dx}{x\sqrt{\ln{(x)}}} $

Published on 16 Apr 2026 - 10:47

score 309 · Answer 6 · 2026-04-16 12:45:25

309

Views

Need help with $\int_0^\infty x^{-\frac{3}{2}}\ \text{Li}_{\sqrt{2}}(-x)\ dx$

Published on 16 Apr 2026 - 12:45

score 79 · Answer 7 · 2026-04-14 11:40:32

79

Views

Solve the special integral

Published on 14 Apr 2026 - 11:40

score 376 · Answer 8 · 2026-04-17 00:32:35

376

Views

Evaluate $\int^{441}_0\frac{\pi\sin \pi \sqrt x}{\sqrt x} dx$

Published on 17 Apr 2026 - 0:32

score 198 · Answer 9 · 2026-04-16 16:40:44

198

Views

Help me prove $\left(\int_{0}^{\infty} t^{50} e^{-t} \,\mathrm dt \right)^{1/2}$ isn't a perfect square

Published on 16 Apr 2026 - 16:40

score 285 · Answer 10 · 2026-04-17 10:57:11

285

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$\int_{0}^{\pi/2} \text{arctanh}(\sin x) \text{arctan}(a \tan(x)) \cos(x) \ dx$

Published on 17 Apr 2026 - 10:57

score 269 · Answer 11 · 2026-04-13 04:49:11

269

Views

A delta function conjecture: almost any function can be a delta kernel

Published on 13 Apr 2026 - 4:49

score 252 · Answer 12 · 2026-04-17 12:29:24

252

Views

Find the special function form of $\int_0^{+\infty} \left(\sqrt{1+x^4} - x^2\right) dx$

Published on 17 Apr 2026 - 12:29

score 178 · Answer 13 · 2026-05-06 03:21:39

178

Views

prove $ F(x)=\int_0^\infty {\sin(tx)\over(t+1)\sqrt t} dt \in C^\infty(\mathbb R^*) $

Published on 06 May 2026 - 3:21

score 415 · Answer 14 · 2026-04-09 05:59:46

415

Views

How to prove a generalized integral identity

Published on 09 Apr 2026 - 5:59

score 1.4k · Answer 15 · 2026-04-16 12:57:32

1.4k

Views

Extending the result $\int_{0}^{\infty} \left( ( 1 - 2C(x))^{2} + (1-2S(x))^{2} \right) \, dx = \frac{4}{\pi} $

Published on 16 Apr 2026 - 12:57

List Question

Improper integrals Question

Improper Integral Question $ \int^{\infty}_0 \frac{\mathrm dx}{1+e^{2x}}$

Improper integral $\int_0^3 \frac{dx}{(x-1)^{2/3}}$

Improper Integral Question $\int_0^1 \ln\sqrt{x}dx $

Improper Integral $\int_{1/e}^1 \frac{dx}{x\sqrt{\ln{(x)}}} $

Need help with $\int_0^\infty x^{-\frac{3}{2}}\ \text{Li}_{\sqrt{2}}(-x)\ dx$

Solve the special integral

Evaluate $\int^{441}_0\frac{\pi\sin \pi \sqrt x}{\sqrt x} dx$

Help me prove $\left(\int_{0}^{\infty} t^{50} e^{-t} \,\mathrm dt \right)^{1/2}$ isn't a perfect square

$\int_{0}^{\pi/2} \text{arctanh}(\sin x) \text{arctan}(a \tan(x)) \cos(x) \ dx$

A delta function conjecture: almost any function can be a delta kernel

Find the special function form of $\int_0^{+\infty} \left(\sqrt{1+x^4} - x^2\right) dx$

prove $ F(x)=\int_0^\infty {\sin(tx)\over(t+1)\sqrt t} dt \in C^\infty(\mathbb R^*) $

How to prove a generalized integral identity

Extending the result $\int_{0}^{\infty} \left( ( 1 - 2C(x))^{2} + (1-2S(x))^{2} \right) \, dx = \frac{4}{\pi} $

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