List questions from integration

Published on 16 Apr 2026 - 19:01

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prove this: $\int_{2}^{4}\frac{\mathrm{d} x}{p(x)}\leq \frac{2}{7}$

Published on 17 Apr 2026 - 11:58

71

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Calculate $\int_0^1f(x)dx$ if

Published on 15 Apr 2026 - 6:20

82

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Why $\frac{1}{\sqrt{2\pi}} \int_x^\infty e^{-t^2/2} dt<e^{-x^2/2}$ when $x>0$?

Published on 16 Apr 2026 - 21:31

60

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Is it correct the following proof.

Published on 13 Apr 2026 - 1:13

37

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Why does $c$ in mean value theorem converge to $a$ and $b$, where $a < c < b$?

Published on 16 Apr 2026 - 7:54

336

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Proof that $f$ is Riemann integrable without Lebesgue criteria

Published on 10 Apr 2026 - 23:55

39

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Definite Integral in two variables equal zero

Published on 12 Apr 2026 - 16:24

136

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How do we evaluate $\int_{0}^{\infty}x^n\ln\left(ae^x-b\over ae^x+b\right)\mathrm dx$

Published on 15 Apr 2026 - 19:29

463

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How to restate the gamma function?

Published on 11 Apr 2026 - 3:45

102

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General definition of the integral of a nonnegative function and proving two theorems

Published on 14 Apr 2026 - 11:34

1.5k

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Prove uniform convergence of a Fourier series

Published on 16 Apr 2026 - 9:12

105

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Evaluate $\int \frac{1}{ax^2-bx}\,dx$ with substitution

Published on 13 Apr 2026 - 17:10

81

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Iterated integral when $f(x,y)$ is unknown

Published on 25 Apr 2026 - 7:14

69

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How to integrate the following integral?

Published on 12 Apr 2026 - 11:34

List Question

Show that $f_n(t) = n\int_{t-1/n}^t1_{\{|f(s\vee 0)|\le n\}}f(s\vee 0)\,ds \rightarrow f(t)$

prove this: $\int_{2}^{4}\frac{\mathrm{d} x}{p(x)}\leq \frac{2}{7}$

Calculate $\int_0^1f(x)dx$ if

Why $\frac{1}{\sqrt{2\pi}} \int_x^\infty e^{-t^2/2} dt<e^{-x^2/2}$ when $x>0$?

Is it correct the following proof.

Why does $c$ in mean value theorem converge to $a$ and $b$, where $a < c < b$?

Proof that $f$ is Riemann integrable without Lebesgue criteria

Definite Integral in two variables equal zero

How do we evaluate $\int_{0}^{\infty}x^n\ln\left(ae^x-b\over ae^x+b\right)\mathrm dx$

How to restate the gamma function?

General definition of the integral of a nonnegative function and proving two theorems

Prove uniform convergence of a Fourier series

Evaluate $\int \frac{1}{ax^2-bx}\,dx$ with substitution

Iterated integral when $f(x,y)$ is unknown

How to integrate the following integral?

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