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About the value of the integral $\int_0^\pi\sqrt{1+t^2}\,\mathrm dt$

score 116 · Answer 1 · 2026-03-25 06:06:43

116

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About the value of the integral $\int_0^\pi\sqrt{1+t^2}\,\mathrm dt$

Published on 25 Mar 2026 - 6:06

score 109 · Answer 2 · 2026-04-11 22:18:49

109

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a problem that I'm stuck on in Calculus:Integration

Published on 11 Apr 2026 - 22:18

score 86 · Answer 3 · 2026-03-25 06:06:49

86

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Showing that $g(x) = \begin{cases} f(x), & \ x \ne 0 \\ c, & \ x = 0 \end{cases}$ is Riemann integrable where $f$ is Riemann integrable

Published on 25 Mar 2026 - 6:06

score 72 · Answer 4 · 2026-04-09 00:05:38

72

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Complex integral of $\cfrac{e^{2z}}{z^4}$

Published on 09 Apr 2026 - 0:05

score 186 · Answer 5 · 2026-04-09 15:56:13

186

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Integrating both sides of equation

Published on 09 Apr 2026 - 15:56

score 201 · Answer 6 · 2026-04-11 17:39:56

201

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Integral Transform (Weierstrass transform of PDF of t-distributions)

Published on 11 Apr 2026 - 17:39

score 212 · Answer 7 · 2026-04-09 02:09:51

212

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Dilogarithmic fashion: the case $(p,q)=(3,4)$ of $\int_{0}^{1}\frac{\text{Li}_p(x)\,\text{Li}_q(x)}{x^2}\,dx$

Published on 09 Apr 2026 - 2:09

score 358 · Answer 8 · 2026-04-12 04:39:12

358

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Integral of product of two inverse polynomials

Published on 12 Apr 2026 - 4:39

score 33 · Answer 9 · 2026-04-09 03:39:18

33

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integrand of norm subjected to translation

Published on 09 Apr 2026 - 3:39

score 114 · Answer 10 · 2026-03-31 19:16:09

114

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Prove $\int_\Omega u(t,x) dx = \int_\Omega g(x) dx$ for diffusion equation using energy functional

Published on 31 Mar 2026 - 19:16

score 203 · Answer 11 · 2018-01-24 01:06:21

203

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Evaluate: $\int \frac {\sec (x)}{\sec (x)+\tan (x)} dx$

Published on 24 Jan 2018 - 1:06

score 138 · Answer 12 · 2026-04-12 03:38:58

138

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Comparison tests for improper integrals

Published on 12 Apr 2026 - 3:38

score 1.2k · Answer 13 · 2026-03-24 22:07:43

1.2k

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Area of annulus $dA = 2\pi r \ dr$, is it a coincidence that $\frac{dA}{dr} = 2\pi r \implies A = \pi r^2$?

Published on 24 Mar 2026 - 22:07

score 289 · Answer 14 · 2026-03-24 20:38:04

289

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Evaluating: $\int \frac {1+\sin (x)}{1+\cos (x)} dx$

Published on 24 Mar 2026 - 20:38

score 50 · Answer 15 · 2026-04-10 10:59:01

50

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Quadrature rules estimation

Published on 10 Apr 2026 - 10:59

List Question

About the value of the integral $\int_0^\pi\sqrt{1+t^2}\,\mathrm dt$

a problem that I'm stuck on in Calculus:Integration

Showing that $g(x) = \begin{cases} f(x), & \ x \ne 0 \\ c, & \ x = 0 \end{cases}$ is Riemann integrable where $f$ is Riemann integrable

Complex integral of $\cfrac{e^{2z}}{z^4}$

Integrating both sides of equation

Integral Transform (Weierstrass transform of PDF of t-distributions)

Dilogarithmic fashion: the case $(p,q)=(3,4)$ of $\int_{0}^{1}\frac{\text{Li}_p(x)\,\text{Li}_q(x)}{x^2}\,dx$

Integral of product of two inverse polynomials

integrand of norm subjected to translation

Prove $\int_\Omega u(t,x) dx = \int_\Omega g(x) dx$ for diffusion equation using energy functional

Evaluate: $\int \frac {\sec (x)}{\sec (x)+\tan (x)} dx$

Comparison tests for improper integrals

Area of annulus $dA = 2\pi r \ dr$, is it a coincidence that $\frac{dA}{dr} = 2\pi r \implies A = \pi r^2$?

Evaluating: $\int \frac {1+\sin (x)}{1+\cos (x)} dx$

Quadrature rules estimation

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