Question

Is possible to use "Feynman's trick" (differentiate under the integral or Leibniz integral rule) to calculate $\int_0^1 \frac{\ln(1-x)}{x}dx\:?$

score 2.3k · Answer 1 · 2026-03-25 07:53:26

2.3k

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Is possible to use "Feynman's trick" (differentiate under the integral or Leibniz integral rule) to calculate $\int_0^1 \frac{\ln(1-x)}{x}dx\:?$

Published on 25 Mar 2026 - 7:53

score 82 · Answer 2 · 2026-04-10 03:47:36

82

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how to calculate the integration of exponential with polynomial expression?

Published on 10 Apr 2026 - 3:47

score 77 · Answer 3 · 2018-01-29 19:36:30

77

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Find the region for double integrals

Published on 29 Jan 2018 - 19:36

score 174 · Answer 4 · 2018-01-29 23:54:15

174

Views

How to solve $a$ in $\int_a^xf\left(t\right)dt=x^2-2x-3$

Published on 29 Jan 2018 - 23:54

score 43 · Answer 5 · 2026-04-10 10:30:17

43

Views

Is it possible to get a closed form expression for the following integral?

Published on 10 Apr 2026 - 10:30

score 201 · Answer 6 · 2018-01-30 09:31:00

201

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definite integral of $1/(a^2cos^2x+b^2sin^2x)$

Published on 30 Jan 2018 - 9:31

score 909 · Answer 7 · 2026-04-10 04:29:18

909

Views

Integrals inequality

Published on 10 Apr 2026 - 4:29

score 1.4k · Answer 8 · 2026-03-26 09:27:00

1.4k

Views

Area of a region bounded by $y=8$ and $y= |x^2-1|$

Published on 26 Mar 2026 - 9:27

score 68 · Answer 9 · 2026-04-02 09:30:41

68

Views

Mouting triple integrals to calculate circular cone

Published on 02 Apr 2026 - 9:30

score 29 · Answer 10 · 2026-04-09 19:28:29

29

Views

How can I solve this integration problem which have a product over the variable

Published on 09 Apr 2026 - 19:28

score 46 · Answer 11 · 2026-04-10 02:04:31

46

Views

Can i apply integral property on this integral?

Published on 10 Apr 2026 - 2:04

score 44 · Answer 12 · 2018-01-31 19:40:37

44

Views

Compute the following double integral

Published on 31 Jan 2018 - 19:40

score 141 · Answer 13 · 2026-03-29 18:33:26

141

Views

Is it known how to evaluate $\int_0^1\frac{(1-x)x^{n+1}}{\sin (\pi x)}dx$, for integers $n\geq 1$?

Published on 29 Mar 2026 - 18:33

score 313 · Answer 14 · 2018-01-31 20:03:49

313

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Why is $\int_a^b f(x)dx$ defined as $-\int_b^a f(x)dx$ for $b<a$?

Published on 31 Jan 2018 - 20:03

score 224 · Answer 15 · 2026-03-25 07:55:30

224

Views

Evaluate $ \int_0^1\frac{\log(x)}{x-1}dx $

Published on 25 Mar 2026 - 7:55

List Question

Is possible to use "Feynman's trick" (differentiate under the integral or Leibniz integral rule) to calculate $\int_0^1 \frac{\ln(1-x)}{x}dx\:?$

how to calculate the integration of exponential with polynomial expression?

Find the region for double integrals

How to solve $a$ in $\int_a^xf\left(t\right)dt=x^2-2x-3$

Is it possible to get a closed form expression for the following integral?

definite integral of $1/(a^2cos^2x+b^2sin^2x)$

Integrals inequality

Area of a region bounded by $y=8$ and $y= |x^2-1|$

Mouting triple integrals to calculate circular cone

How can I solve this integration problem which have a product over the variable

Can i apply integral property on this integral?

Compute the following double integral

Is it known how to evaluate $\int_0^1\frac{(1-x)x^{n+1}}{\sin (\pi x)}dx$, for integers $n\geq 1$?

Why is $\int_a^b f(x)dx$ defined as $-\int_b^a f(x)dx$ for $b<a$?

Evaluate $ \int_0^1\frac{\log(x)}{x-1}dx $

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