Question

Area under a curve of an odd function from negative infinity to positive infinity

score 2.4k · Answer 1 · 2026-03-17 12:21:49

2.4k

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Area under a curve of an odd function from negative infinity to positive infinity

Published on 17 Mar 2026 - 12:21

score 93 · Answer 2 · 2018-08-09 20:46:27

93

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Prove that $\int_{(0,\infty)}\frac{1-\exp(-xt^2)}{t^2}dt <\infty$ $\forall x\in (0,1)$

Published on 09 Aug 2018 - 20:46

score 170 · Answer 3 · 2026-03-26 12:36:33

170

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Evaluating $\lim_{x\to\infty}\frac{\int_0^{2x}\sqrt{1+t^2}dt}{x^2}$

Published on 26 Mar 2026 - 12:36

score 76 · Answer 4 · 2018-08-10 00:11:42

76

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How to determine convergence of $\int _0^1 \frac{3cosx}{x^2+x^\frac{1}{2}}dx$

Published on 10 Aug 2018 - 0:11

score 110 · Answer 5 · 2018-08-10 12:38:56

110

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Convergence of ${\Large\int} _{1}^{+\infty}\left(\frac{\pi}{2}-\arctan(\sqrt{x})\right)^{\alpha}(\cos(x^2)) dx$, for $\alpha \geqslant0$

Published on 10 Aug 2018 - 12:38

score 170 · Answer 6 · 2018-08-10 19:11:39

170

Views

Evaluate $\int _0^1\frac{dx}{(e^x-1)^{1/3}}$

Published on 10 Aug 2018 - 19:11

score 100 · Answer 7 · 2018-08-11 10:27:49

100

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Convergence of: ${\int} _{3}^{+\infty}xe^{-(\log x)^\alpha} dx$ for $\alpha \in \mathbb{R}$

Published on 11 Aug 2018 - 10:27

score 192 · Answer 8 · 2018-08-11 18:56:12

192

Views

Evaluate: $u =\int_0^\infty\frac{dx}{x^4 +7x^2+1}$

Published on 11 Aug 2018 - 18:56

score 50 · Answer 9 · 2018-08-12 10:47:05

50

Views

Continuity and derivability of $(\int_{x}^{1}\frac{dt}{1-\cos(t^8)})^{-1}$

Published on 12 Aug 2018 - 10:47

score 121 · Answer 10 · 2018-08-12 21:20:00

121

Views

$\int_{-\infty}^\infty \frac{e^{-\lvert x \rvert}}{x^4+1}dx$

Published on 12 Aug 2018 - 21:20

score 255 · Answer 11 · 2018-08-13 00:11:59

255

Views

Integral of $\log(1-x^t)$ with respect to $t$

Published on 13 Aug 2018 - 0:11

score 64 · Answer 12 · 2018-08-14 08:20:31

64

Views

Exponential integral with square root

Published on 14 Aug 2018 - 8:20

score 428 · Answer 13 · 2026-03-25 21:31:32

428

Views

why do we use laplace transform to solve the integral $\int _{0}^{\infty}\frac{\sin x}{x}dx$ ? why is it insolvable if we go the normal way?

Published on 25 Mar 2026 - 21:31

score 56 · Answer 14 · 2018-08-14 19:18:19

56

Views

Study the function: $F(x)=\int_{x}^{2x}\frac{e^{2t}-e^t}{t}\,dt$

Published on 14 Aug 2018 - 19:18

score 767 · Answer 15 · 2026-03-25 12:30:12

767

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Integrating products of Hermite polynomials

Published on 25 Mar 2026 - 12:30

List Question

Area under a curve of an odd function from negative infinity to positive infinity

Prove that $\int_{(0,\infty)}\frac{1-\exp(-xt^2)}{t^2}dt <\infty$ $\forall x\in (0,1)$

Evaluating $\lim_{x\to\infty}\frac{\int_0^{2x}\sqrt{1+t^2}dt}{x^2}$

How to determine convergence of $\int _0^1 \frac{3cosx}{x^2+x^\frac{1}{2}}dx$

Convergence of ${\Large\int} _{1}^{+\infty}\left(\frac{\pi}{2}-\arctan(\sqrt{x})\right)^{\alpha}(\cos(x^2)) dx$, for $\alpha \geqslant0$

Evaluate $\int _0^1\frac{dx}{(e^x-1)^{1/3}}$

Convergence of: ${\int} _{3}^{+\infty}xe^{-(\log x)^\alpha} dx$ for $\alpha \in \mathbb{R}$

Evaluate: $u =\int_0^\infty\frac{dx}{x^4 +7x^2+1}$

Continuity and derivability of $(\int_{x}^{1}\frac{dt}{1-\cos(t^8)})^{-1}$

$\int_{-\infty}^\infty \frac{e^{-\lvert x \rvert}}{x^4+1}dx$

Integral of $\log(1-x^t)$ with respect to $t$

Exponential integral with square root

why do we use laplace transform to solve the integral $\int _{0}^{\infty}\frac{\sin x}{x}dx$ ? why is it insolvable if we go the normal way?

Study the function: $F(x)=\int_{x}^{2x}\frac{e^{2t}-e^t}{t}\,dt$

Integrating products of Hermite polynomials

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