Question

proof that $\lim_{\epsilon \to 0^+} \int_{-\infty}^ \infty f(x) e^{-\epsilon |x|}$ = $\int_{-\infty}^ \infty f(x)$

score 232 · Answer 1 · 2021-06-24 10:28:42

232

Views

proof that $\lim_{\epsilon \to 0^+} \int_{-\infty}^ \infty f(x) e^{-\epsilon |x|}$ = $\int_{-\infty}^ \infty f(x)$

Published on 24 Jun 2021 - 10:28

score 76 · Answer 2 · 2021-06-26 20:15:44

76

Views

The set of bounded and Riemann integrable maps are a Banach space?

Published on 26 Jun 2021 - 20:15

score 88 · Answer 3 · 2021-06-27 09:20:58

88

Views

On the relationship between second and first part of fundamental theorem of calculus

Published on 27 Jun 2021 - 9:20

score 69 · Answer 4 · 2026-03-26 09:49:19

69

Views

Riemann/Stieltjes sum - $dt^2$?

Published on 26 Mar 2026 - 9:49

score 46 · Answer 5 · 2021-06-28 17:42:49

46

Views

Calculate Integral of $f(x,y)=(x+y)^2$ on the square $[0,1]\times [0,1]$ with Riemann sums

Published on 28 Jun 2021 - 17:42

score 67 · Answer 6 · 2021-07-01 17:40:26

67

Views

Convergence of Riemann integrals on shrinking interval of integrations

Published on 01 Jul 2021 - 17:40

score 37 · Answer 7 · 2026-02-24 00:09:56

37

Views

What is the relationship between local differentiability and quadratic variation?

Published on 24 Feb 2026 - 0:09

score 179 · Answer 8 · 2021-07-02 10:53:38

179

Views

Can an integral always be written as an infinite sum?

Published on 02 Jul 2021 - 10:53

score 131 · Answer 9 · 2021-07-03 12:35:41

131

Views

Prove that if $|f|$ is both Lebesgue integrable and Riemann integrable, then the integrals are equal.

Published on 03 Jul 2021 - 12:35

score 40 · Answer 10 · 2021-07-04 10:21:27

40

Views

integral of square function with zero limit

Published on 04 Jul 2021 - 10:21

score 122 · Answer 11 · 2026-04-01 14:45:19

122

Views

Definition of $\underline{\int_{a}^{b}} f(x) \,dx$ and $\overline{\int_{a}^{b}} f(x) \,dx$ unclear

Published on 01 Apr 2026 - 14:45

score 136 · Answer 12 · 2021-07-06 16:38:16

136

Views

Show that $\frac{d}{dt}\int_Sf(x,t)=\int_S\frac{\partial f}{\partial t}(x,t)$ for each $t\in I$ when $S$ is a fixed integrable set.

Published on 06 Jul 2021 - 16:38

score 92 · Answer 13 · 2021-07-09 16:20:15

92

Views

Does $ \lim_{\varepsilon\to0} \int_\varepsilon^T f(t)\, dt \,<\infty$ imply $ \int_0^T|f(t)|\,dt\,<\infty$?

Published on 09 Jul 2021 - 16:20

score 94 · Answer 14 · 2026-04-05 14:21:28

94

Views

Integration with a dependence of $\lfloor x\rfloor$ or in general of a function $\lfloor g(x)\rfloor$

Published on 05 Apr 2026 - 14:21

score 268 · Answer 15 · 2021-07-18 11:31:00

268

Views

Integration of a continuous function on a closed interval

Published on 18 Jul 2021 - 11:31

List Question

proof that $\lim_{\epsilon \to 0^+} \int_{-\infty}^ \infty f(x) e^{-\epsilon |x|}$ = $\int_{-\infty}^ \infty f(x)$

The set of bounded and Riemann integrable maps are a Banach space?

On the relationship between second and first part of fundamental theorem of calculus

Riemann/Stieltjes sum - $dt^2$?

Calculate Integral of $f(x,y)=(x+y)^2$ on the square $[0,1]\times [0,1]$ with Riemann sums

Convergence of Riemann integrals on shrinking interval of integrations

What is the relationship between local differentiability and quadratic variation?

Can an integral always be written as an infinite sum?

Prove that if $|f|$ is both Lebesgue integrable and Riemann integrable, then the integrals are equal.

integral of square function with zero limit

Definition of $\underline{\int_{a}^{b}} f(x) \,dx$ and $\overline{\int_{a}^{b}} f(x) \,dx$ unclear

Show that $\frac{d}{dt}\int_Sf(x,t)=\int_S\frac{\partial f}{\partial t}(x,t)$ for each $t\in I$ when $S$ is a fixed integrable set.

Does $ \lim_{\varepsilon\to0} \int_\varepsilon^T f(t)\, dt \,<\infty$ imply $ \int_0^T|f(t)|\,dt\,<\infty$?

Integration with a dependence of $\lfloor x\rfloor$ or in general of a function $\lfloor g(x)\rfloor$

Integration of a continuous function on a closed interval

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