List questions from even-and-odd-functions

Published on 02 Jul 2020 - 1:07

212

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If $\int_{-1}^1 fg = 0$ for all even functions $f$, is $g$ necessarily odd?

Published on 05 Jul 2020 - 22:55

126

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Evaluating $\int_{-a}^a x^{2n+1}\mathrm{d}x$ for all non-negative integers $n$ simultaneously

Published on 05 Jul 2020 - 22:58

58

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Evaluate the Improper Integral(help)

Published on 14 Jul 2020 - 5:02

110

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Question about whether function is odd or even

Published on 27 Jul 2020 - 22:17

355

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Prove that function is odd, without the explicit function

Published on 22 Sep 2016 - 17:56

375

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Extend piecewise function with both pieces constant to even function

Published on 07 Jan 2017 - 2:19

1.5k

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Is $x^3+1$ considered even or an odd function?

Published on 20 Jan 2017 - 7:51

65

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Show that if d0 is even, then n is even

Published on 09 Mar 2017 - 21:15

247

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Do functions over a ring have an odd and an even part?

Published on 12 Mar 2023 - 20:13

275

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Why is the decomposition of a function into odd and even parts interesting?

Published on 14 Mar 2023 - 17:28

97

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Question on even, odd complex valued function

Published on 25 Apr 2023 - 4:26

43

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Integrate without using the property that the function is odd

Published on 12 May 2023 - 14:06

86

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Arranging numbers along lines

Published on 06 Jun 2023 - 13:41

71

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How to find constant $a$ and real function $f$ such that: $\Im f(a+ix)=\ln(x)$

Published on 23 Jun 2023 - 14:18

List Question

If $f$ is odd and periodic then a translation of $f$ is even?

If $\int_{-1}^1 fg = 0$ for all even functions $f$, is $g$ necessarily odd?

Evaluating $\int_{-a}^a x^{2n+1}\mathrm{d}x$ for all non-negative integers $n$ simultaneously

Evaluate the Improper Integral(help)

Question about whether function is odd or even

Prove that function is odd, without the explicit function

Extend piecewise function with both pieces constant to even function

Is $x^3+1$ considered even or an odd function?

Show that if d0 is even, then n is even

Do functions over a ring have an odd and an even part?

Why is the decomposition of a function into odd and even parts interesting?

Question on even, odd complex valued function

Integrate without using the property that the function is odd

Arranging numbers along lines

How to find constant $a$ and real function $f$ such that: $\Im f(a+ix)=\ln(x)$

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