Question

How to determine if $ \int_0^1 \frac{(\ln x)^5}{\sqrt{ x}}\mathrm dx$ diverges or converges without calculating the integral itself

score 115 · Answer 1 · 2026-04-14 20:44:17

115

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How to determine if $ \int_0^1 \frac{(\ln x)^5}{\sqrt{ x}}\mathrm dx$ diverges or converges without calculating the integral itself

Published on 14 Apr 2026 - 20:44

score 192 · Answer 2 · 2026-04-14 08:06:47

192

Views

Proving Integral Exists in $\mathbb{R}^2$

Published on 14 Apr 2026 - 8:06

score 1.4k · Answer 3 · 2026-04-09 13:43:06

1.4k

Views

Fundamental Theorem of Calculus in Descent Lemma

Published on 09 Apr 2026 - 13:43

score 44 · Answer 4 · 2026-04-15 12:00:48

44

Views

What is the approach to showing the differentiability of $F(s,f) = \int_{0}^{1}f(x+s)g'(x)dx$?

Published on 15 Apr 2026 - 12:00

score 456 · Answer 5 · 2026-04-16 12:48:36

456

Views

How to compute $\int_{0}^{1}x\sin (bx) J_0\!\!\left(a\sqrt{1-x^2}\right)\!\mathrm dx$?

Published on 16 Apr 2026 - 12:48

score 76 · Answer 6 · 2026-04-16 11:58:22

76

Views

the simpliest way of solving $\int\frac{\sqrt[4]{3x+5}}{x}\,\mathrm{d}x$?

Published on 16 Apr 2026 - 11:58

score 143 · Answer 7 · 2026-04-15 17:09:53

143

Views

$\int_{0}^{1}f(x)x^{k}=c^{k}$

Published on 15 Apr 2026 - 17:09

score 71 · Answer 8 · 2026-04-11 14:51:01

71

Views

Integral with variable change

Published on 11 Apr 2026 - 14:51

score 41 · Answer 9 · 2026-04-11 23:28:17

41

Views

Functions of Random variables as integrals

Published on 11 Apr 2026 - 23:28

score 82 · Answer 10 · 2026-04-20 21:32:22

82

Views

Is there a nice way to calculate $\int (1-x_3)^2$ over the hemisphere?

Published on 20 Apr 2026 - 21:32

score 828 · Answer 11 · 2026-04-11 02:16:32

828

Views

Continuous tensor products and integrals of such

Published on 11 Apr 2026 - 2:16

score 697 · Answer 12 · 2026-04-11 16:01:01

697

Views

Obtaining circle circumference by Integrating in cartesian coordinates

Published on 11 Apr 2026 - 16:01

score 103 · Answer 13 · 2026-04-10 02:15:31

103

Views

Theory of integration with respect to a function, continuous martingales

Published on 10 Apr 2026 - 2:15

score 47 · Answer 14 · 2026-04-16 11:00:59

47

Views

Compute $\iiint_Kx^2+y^2 \ dxdydz.$

Published on 16 Apr 2026 - 11:00

score 346 · Answer 15 · 2026-04-14 01:40:34

346

Views

Rearranging bounds for marginal PDF of joint PDF

Published on 14 Apr 2026 - 1:40

List Question

How to determine if $ \int_0^1 \frac{(\ln x)^5}{\sqrt{ x}}\mathrm dx$ diverges or converges without calculating the integral itself

Proving Integral Exists in $\mathbb{R}^2$

Fundamental Theorem of Calculus in Descent Lemma

What is the approach to showing the differentiability of $F(s,f) = \int_{0}^{1}f(x+s)g'(x)dx$?

How to compute $\int_{0}^{1}x\sin (bx) J_0\!\!\left(a\sqrt{1-x^2}\right)\!\mathrm dx$?

the simpliest way of solving $\int\frac{\sqrt[4]{3x+5}}{x}\,\mathrm{d}x$?

$\int_{0}^{1}f(x)x^{k}=c^{k}$

Integral with variable change

Functions of Random variables as integrals

Is there a nice way to calculate $\int (1-x_3)^2$ over the hemisphere?

Continuous tensor products and integrals of such

Obtaining circle circumference by Integrating in cartesian coordinates

Theory of integration with respect to a function, continuous martingales

Compute $\iiint_Kx^2+y^2 \ dxdydz.$

Rearranging bounds for marginal PDF of joint PDF

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