Question

What is the value of this integral whose integrand is a mixture of gamma and gaussian functions?

score 52 · Answer 1 · 2026-04-14 07:15:59

52

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What is the value of this integral whose integrand is a mixture of gamma and gaussian functions?

Published on 14 Apr 2026 - 7:15

score 114 · Answer 2 · 2026-04-17 06:21:12

114

Views

Evaluating $\int e^{ax}\cosh\left(bx\right)dx$ and $\int e^{ax}\sinh\left(bx\right)dx$ Simultaneously Using Linear Algebra

Published on 17 Apr 2026 - 6:21

score 71 · Answer 3 · 2026-04-16 12:18:03

71

Views

Use the substitution $u=\frac{1}{\sqrt{3}}\tan x$ to find $\int\frac{dx}{3-2\sin^2x}$

Published on 16 Apr 2026 - 12:18

score 32 · Answer 4 · 2026-04-10 22:25:27

32

Views

Convergence of double integral with variable

Published on 10 Apr 2026 - 22:25

score 130 · Answer 5 · 2026-04-12 23:06:32

130

Views

Why don't we add multiple integration constants

Published on 12 Apr 2026 - 23:06

score 57 · Answer 6 · 2026-04-10 07:54:27

57

Views

Integration of root of a squared term

Published on 10 Apr 2026 - 7:54

score 277 · Answer 7 · 2026-04-16 03:22:58

277

Views

Solve the differential equation: $\frac{xdx-ydy}{xdy-ydx}=\sqrt{\frac{1+x^2-y^2}{x^2-y^2}}$

Published on 16 Apr 2026 - 3:22

score 152 · Answer 8 · 2026-04-17 09:15:23

152

Views

How do we prove that $\int \frac{1}{\sqrt{x-x^2}}\mathrm{d}x$ equals $\arcsin(2x - 1) + C$?

Published on 17 Apr 2026 - 9:15

score 67 · Answer 9 · 2026-04-15 17:10:30

67

Views

$\int \frac1{1+x^n} dx$

Published on 15 Apr 2026 - 17:10

score 45 · Answer 10 · 2026-04-17 08:17:35

45

Views

Find the volume $V$ as a result of revolving the region between $f(x) = x^2 - 2x$ and $g(x) = x$ around the line $y = 4$.

Published on 17 Apr 2026 - 8:17

score 204 · Answer 11 · 2026-04-16 17:31:55

204

Views

$\sum\limits_{n=1}^\infty\frac{(-1)^\frac{(5+\sqrt3i)n}6x^n}{n!}(\frac ns )^{(n-1)}\,_2\text F_1\left(1-n,-sn;2-sn;s\right)$ closed form or integral.

Published on 16 Apr 2026 - 17:31

score 143 · Answer 12 · 2026-04-16 10:04:20

143

Views

$\int \frac{\cos 4x}{4 \sin 2x} dx$

Published on 16 Apr 2026 - 10:04

score 41 · Answer 13 · 2026-04-11 17:31:09

41

Views

Problem in calculating the coefficients in a simple integral problem

Published on 11 Apr 2026 - 17:31

score 117 · Answer 14 · 2026-04-15 19:42:45

117

Views

Solving $\int \sin^3 2 \theta \sqrt{\cos 2 \theta}\:d\theta$ using Integration by Parts.

Published on 15 Apr 2026 - 19:42

score 245 · Answer 15 · 2026-04-15 21:05:21

245

Views

Find the area bounded by $y=f(x)$ from $x=1$ to $x=3$ where $f(x)$ satisfies the equation $\int_0^1(x-f(x))f(x)dx=\frac1{12}$

Published on 15 Apr 2026 - 21:05

List Question

What is the value of this integral whose integrand is a mixture of gamma and gaussian functions?

Evaluating $\int e^{ax}\cosh\left(bx\right)dx$ and $\int e^{ax}\sinh\left(bx\right)dx$ Simultaneously Using Linear Algebra

Use the substitution $u=\frac{1}{\sqrt{3}}\tan x$ to find $\int\frac{dx}{3-2\sin^2x}$

Convergence of double integral with variable

Why don't we add multiple integration constants

Integration of root of a squared term

Solve the differential equation: $\frac{xdx-ydy}{xdy-ydx}=\sqrt{\frac{1+x^2-y^2}{x^2-y^2}}$

How do we prove that $\int \frac{1}{\sqrt{x-x^2}}\mathrm{d}x$ equals $\arcsin(2x - 1) + C$?

$\int \frac1{1+x^n} dx$

Find the volume $V$ as a result of revolving the region between $f(x) = x^2 - 2x$ and $g(x) = x$ around the line $y = 4$.

$\sum\limits_{n=1}^\infty\frac{(-1)^\frac{(5+\sqrt3i)n}6x^n}{n!}(\frac ns )^{(n-1)}\,_2\text F_1\left(1-n,-sn;2-sn;s\right)$ closed form or integral.

$\int \frac{\cos 4x}{4 \sin 2x} dx$

Problem in calculating the coefficients in a simple integral problem

Solving $\int \sin^3 2 \theta \sqrt{\cos 2 \theta}\:d\theta$ using Integration by Parts.

Find the area bounded by $y=f(x)$ from $x=1$ to $x=3$ where $f(x)$ satisfies the equation $\int_0^1(x-f(x))f(x)dx=\frac1{12}$

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