Question

Calculate the definite integral between $x = a$ and $x = 0$ for $x\sqrt{a^2-x^2}$, where $a$ is some fixed positive real number.

score 95 · Answer 1 · 2026-03-25 17:52:10

95

Views

Calculate the definite integral between $x = a$ and $x = 0$ for $x\sqrt{a^2-x^2}$, where $a$ is some fixed positive real number.

Published on 25 Mar 2026 - 17:52

score 26 · Answer 2 · 2018-05-07 14:35:09

26

Views

Find the points where $g(x)$ touches the x axis

Published on 07 May 2018 - 14:35

score 1.8k · Answer 3 · 2026-03-27 01:44:43

1.8k

Views

Area under curve and its inverse

Published on 27 Mar 2026 - 1:44

score 26 · Answer 4 · 2026-04-11 05:01:59

26

Views

Definite integral with change of limits

Published on 11 Apr 2026 - 5:01

score 292 · Answer 5 · 2026-04-10 14:38:30

292

Views

Proving a question about the average of a periodic function formula

Published on 10 Apr 2026 - 14:38

score 413 · Answer 6 · 2026-03-26 03:11:08

413

Views

Recreational integral problem: $\int_0^1 (x+\sqrt[3]{x^3-1})^{2018}dx$

Published on 26 Mar 2026 - 3:11

score 50 · Answer 7 · 2026-04-12 13:18:45

50

Views

Integrating a function over a region

Published on 12 Apr 2026 - 13:18

score 65 · Answer 8 · 2026-04-13 03:13:37

65

Views

Integral involving exponential of exponential convergence

Published on 13 Apr 2026 - 3:13

score 125 · Answer 9 · 2026-03-25 06:30:20

125

Views

On $\int_0^1\left(\int_0^\infty\frac{\operatorname{gd}(x+y)}{\exp(x+y)}dx\right)dy$, being $\operatorname{gd}(u)$ the Gudermannian function

Published on 25 Mar 2026 - 6:30

score 106 · Answer 10 · 2026-04-12 20:33:49

106

Views

How do I evaluate this integral using Beta functions?

Published on 12 Apr 2026 - 20:33

score 392 · Answer 11 · 2018-05-08 19:22:03

392

Views

Evaluate $\int_{1/2014}^{2014} \frac{\tan^{-1}x}{x}dx$ using Differentiation Under the Integral Sign

Published on 08 May 2018 - 19:22

score 1.2k · Answer 12 · 2026-03-25 18:50:14

1.2k

Views

Evaluating $ \int_0^\pi \frac{\cos{n\theta}}{1 -2r\cos{\theta}+r^2} d\theta $

Published on 25 Mar 2026 - 18:50

score 86 · Answer 13 · 2026-04-11 14:20:58

86

Views

Definite integral involving Legendre Functions

Published on 11 Apr 2026 - 14:20

score 1.3k · Answer 14 · 2026-04-09 01:12:57

1.3k

Views

Lebesgue Integrability of $x^{-p}$

Published on 09 Apr 2026 - 1:12

score 250 · Answer 15 · 2026-04-09 10:45:06

250

Views

$\Delta x$ in the limit-definition, or Riemann-Sum-definition, of an Integral.

Published on 09 Apr 2026 - 10:45

List Question

Calculate the definite integral between $x = a$ and $x = 0$ for $x\sqrt{a^2-x^2}$, where $a$ is some fixed positive real number.

Find the points where $g(x)$ touches the x axis

Area under curve and its inverse

Definite integral with change of limits

Proving a question about the average of a periodic function formula

Recreational integral problem: $\int_0^1 (x+\sqrt[3]{x^3-1})^{2018}dx$

Integrating a function over a region

Integral involving exponential of exponential convergence

On $\int_0^1\left(\int_0^\infty\frac{\operatorname{gd}(x+y)}{\exp(x+y)}dx\right)dy$, being $\operatorname{gd}(u)$ the Gudermannian function

How do I evaluate this integral using Beta functions?

Evaluate $\int_{1/2014}^{2014} \frac{\tan^{-1}x}{x}dx$ using Differentiation Under the Integral Sign

Evaluating $ \int_0^\pi \frac{\cos{n\theta}}{1 -2r\cos{\theta}+r^2} d\theta $

Definite integral involving Legendre Functions

Lebesgue Integrability of $x^{-p}$

$\Delta x$ in the limit-definition, or Riemann-Sum-definition, of an Integral.

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