Question

Closed-form of $\int_{0}^{\infty} \exp {(-ax^2)}\log x \mathrm d x$ without using Laplace Transform?

score 106 · Answer 1 · 2019-03-22 17:25:29

106

Views

Closed-form of $\int_{0}^{\infty} \exp {(-ax^2)}\log x \mathrm d x$ without using Laplace Transform?

Published on 22 Mar 2019 - 17:25

score 170 · Answer 2 · 2019-03-22 23:00:32

170

Views

Closed form for $\int_0^1 e^{\frac{1}{\ln(x)}}dx$?

Published on 22 Mar 2019 - 23:00

score 206 · Answer 3 · 2019-03-23 18:29:30

206

Views

Numerical Approximation Solution to Exponential Equation

Published on 23 Mar 2019 - 18:29

score 62 · Answer 4 · 2019-03-23 19:53:27

62

Views

Proving the closed-formed formula of a recursive expression

Published on 23 Mar 2019 - 19:53

score 62 · Answer 5 · 2026-03-25 11:09:49

62

Views

Help with first order non-linear differential equation

Published on 25 Mar 2026 - 11:09

score 650 · Answer 6 · 2019-03-29 20:37:24

650

Views

Find the closed form of the recurrence equation $T(n)=2T\left(\frac n2\right)+\log n$

Published on 29 Mar 2019 - 20:37

score 170 · Answer 7 · 2026-03-25 09:40:01

170

Views

closed form of the following integral :$\int_{0}^{\infty}- \sqrt{x}+ \sqrt{x}\coth (x) dx$?

Published on 25 Mar 2026 - 9:40

score 128 · Answer 8 · 2019-03-30 16:19:40

128

Views

Evaluation of $\int_{1}^{\infty} \frac{\arctan (x+1)}{x^2+4} dx$ in closed form?

Published on 30 Mar 2019 - 16:19

score 258 · Answer 9 · 2019-03-30 20:27:54

258

Views

Calculating $\int_{0}^{\pi }{\frac{x\sin \left( x \right)}{a+b{{\cos }^{2}}\left( x \right)}dx}$

Published on 30 Mar 2019 - 20:27

score 246 · Answer 10 · 2026-03-25 22:04:44

246

Views

Closed form of :$ \int_{-\infty}^{\infty}\arctan\left(e^{-x^2 \text{erf}(x)}\right)\,\arctan\left(e^{x^2\text{erf(x)}}\right)\,dx $

Published on 25 Mar 2026 - 22:04

score 62 · Answer 11 · 2019-03-31 00:32:12

62

Views

Is there a general formula for $\int{\big(\frac {\arctan x}{x^2+1} \big )}^{\frac1k}dx$ , with $k$ is positive integer?

Published on 31 Mar 2019 - 0:32

score 69 · Answer 12 · 2019-03-31 20:23:55

69

Views

Analytic Integration, or, closed-form expression for an integral

Published on 31 Mar 2019 - 20:23

score 102 · Answer 13 · 2026-03-25 11:03:11

102

Views

Arc length of $x^3 \sqrt{9-x}$ on $[0,9]$

Published on 25 Mar 2026 - 11:03

score 174 · Answer 14 · 2026-03-25 16:08:24

174

Views

How to find the closed form of the summation below without changing the lower and upper bound of summation?

Published on 25 Mar 2026 - 16:08

score 73 · Answer 15 · 2019-04-06 05:46:09

73

Views

Finding a closed form for coefficients in $x^{3n}=x_0\left(a_nx+b_n+\frac {c_n}{x}\right)$

Published on 06 Apr 2019 - 5:46

List Question

Closed-form of $\int_{0}^{\infty} \exp {(-ax^2)}\log x \mathrm d x$ without using Laplace Transform?

Closed form for $\int_0^1 e^{\frac{1}{\ln(x)}}dx$?

Numerical Approximation Solution to Exponential Equation

Proving the closed-formed formula of a recursive expression

Help with first order non-linear differential equation

Find the closed form of the recurrence equation $T(n)=2T\left(\frac n2\right)+\log n$

closed form of the following integral :$\int_{0}^{\infty}- \sqrt{x}+ \sqrt{x}\coth (x) dx$?

Evaluation of $\int_{1}^{\infty} \frac{\arctan (x+1)}{x^2+4} dx$ in closed form?

Calculating $\int_{0}^{\pi }{\frac{x\sin \left( x \right)}{a+b{{\cos }^{2}}\left( x \right)}dx}$

Closed form of :$ \int_{-\infty}^{\infty}\arctan\left(e^{-x^2 \text{erf}(x)}\right)\,\arctan\left(e^{x^2\text{erf(x)}}\right)\,dx $

Is there a general formula for $\int{\big(\frac {\arctan x}{x^2+1} \big )}^{\frac1k}dx$ , with $k$ is positive integer?

Analytic Integration, or, closed-form expression for an integral

Arc length of $x^3 \sqrt{9-x}$ on $[0,9]$

How to find the closed form of the summation below without changing the lower and upper bound of summation?

Finding a closed form for coefficients in $x^{3n}=x_0\left(a_nx+b_n+\frac {c_n}{x}\right)$

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