Question

Proof that $\lim \limits_{h \to 0} \int \limits_{a}^{b} |f(x+h)-f(x)| dx =0$

score 172 · Answer 1 · 2026-05-11 09:47:58

172

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Proof that $\lim \limits_{h \to 0} \int \limits_{a}^{b} |f(x+h)-f(x)| dx =0$

Published on 11 May 2026 - 9:47

score 134 · Answer 2 · 2026-04-10 22:22:01

134

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How do you change the order of integration in this double integral?

Published on 10 Apr 2026 - 22:22

score 125 · Answer 3 · 2026-05-05 09:13:21

125

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Can $\int_0^1\frac{1+x^{2i}}{x^i(1+x^2)}dx $ be Evaluated Using Differentiating Under the Integral?

Published on 05 May 2026 - 9:13

score 70 · Answer 4 · 2026-04-30 10:21:56

70

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Integration by Transformation to Polar Coordinates

Published on 30 Apr 2026 - 10:21

score 171 · Answer 5 · 2026-04-17 12:25:40

171

Views

Short way to evaluate $\int_{0}^{1}\ln(\frac{a-x^2}{a+x^2})\cdot\frac{dx}{x^2\sqrt{1-x^2}}$

Published on 17 Apr 2026 - 12:25

score 367 · Answer 6 · 2026-04-16 10:36:57

367

Views

A direct proof for $\int_0^x \frac{- x \ln(1-u^2)}{u \sqrt{x^2-u^2}} \, \mathrm{d} u = \arcsin^2(x)$

Published on 16 Apr 2026 - 10:36

score 1.5k · Answer 7 · 2026-04-17 08:35:16

1.5k

Views

Why is the Indefinite Integral of a Step Function and continuous?

Published on 17 Apr 2026 - 8:35

score 163 · Answer 8 · 2026-05-10 19:02:58

163

Views

Integrating the error function of $\frac{a}{\sqrt{x^2+b^2}}$

Published on 10 May 2026 - 19:02

score 57 · Answer 9 · 2026-05-14 12:48:57

57

Views

Properties of a weighted maximal function $\sup_{r>0}\frac{1}{[m(B_r(x))]^\alpha}\int_{B_r(x)} f(y) dy$

Published on 14 May 2026 - 12:48

score 258 · Answer 10 · 2026-04-15 11:50:41

258

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Different way $\int_{0}^{\infty}e^{-2x}\frac{\ln \cosh(x)}{1+\cosh(x)}dx$

Published on 15 Apr 2026 - 11:50

score 104 · Answer 11 · 2026-05-14 12:48:15

104

Views

What is the value of $\int^\infty_{-\infty} \cos^2 x\, dx$?

Published on 14 May 2026 - 12:48

score 1.6k · Answer 12 · 2026-04-11 20:44:58

1.6k

Views

Fubini's theorem and the Gaussian Integral

Published on 11 Apr 2026 - 20:44

score 121 · Answer 13 · 2026-05-11 08:36:51

121

Views

Why does $\int_0^1 \frac{\ln(\ln(p))}{1+p^2}dp$ Converge?

Published on 11 May 2026 - 8:36

score 71 · Answer 14 · 2026-05-02 09:11:23

71

Views

Computing the electric flux

Published on 02 May 2026 - 9:11

score 95 · Answer 15 · 2026-05-10 13:50:42

95

Views

Show that $\int_0^{\infty} (\exp(x) - 2^{\sqrt 5 +1} + 1) (\coth(x) - 1) x^{\sqrt 5} dx = 0 $

Published on 10 May 2026 - 13:50

List Question

Proof that $\lim \limits_{h \to 0} \int \limits_{a}^{b} |f(x+h)-f(x)| dx =0$

How do you change the order of integration in this double integral?

Can $\int_0^1\frac{1+x^{2i}}{x^i(1+x^2)}dx $ be Evaluated Using Differentiating Under the Integral?

Integration by Transformation to Polar Coordinates

Short way to evaluate $\int_{0}^{1}\ln(\frac{a-x^2}{a+x^2})\cdot\frac{dx}{x^2\sqrt{1-x^2}}$

A direct proof for $\int_0^x \frac{- x \ln(1-u^2)}{u \sqrt{x^2-u^2}} \, \mathrm{d} u = \arcsin^2(x)$

Why is the Indefinite Integral of a Step Function and continuous?

Integrating the error function of $\frac{a}{\sqrt{x^2+b^2}}$

Properties of a weighted maximal function $\sup_{r>0}\frac{1}{[m(B_r(x))]^\alpha}\int_{B_r(x)} f(y) dy$

Different way $\int_{0}^{\infty}e^{-2x}\frac{\ln \cosh(x)}{1+\cosh(x)}dx$

What is the value of $\int^\infty_{-\infty} \cos^2 x\, dx$?

Fubini's theorem and the Gaussian Integral

Why does $\int_0^1 \frac{\ln(\ln(p))}{1+p^2}dp$ Converge?

Computing the electric flux

Show that $\int_0^{\infty} (\exp(x) - 2^{\sqrt 5 +1} + 1) (\coth(x) - 1) x^{\sqrt 5} dx = 0 $

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