List questions from bounds-of-integration

139

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Does the existence of the integral $\int_0^\infty f(x)dx$ imply that f(x) is bounded on $[0,\infty)$ when f(x) is continuous in this same interval?

Published on 05 Jun 2020 - 13:17

97

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How to evaluate $\iint_R \sin(\frac{y-x}{y+x})dydx$ with Jacobian substitution?

Published on 12 Jun 2020 - 16:26

144

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A lower bound for the cosine integral

Published on 19 Jun 2020 - 12:09

382

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What does this integral notation mean?

Published on 05 Jul 2020 - 17:20

114

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How to find the bounds of the volume integral $\int_\Omega (6xz + 2y +3z^2) \, \text{d} \tilde{x}$?

Published on 09 Jul 2020 - 9:04

69

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Help with change of variables for evaluating $\iint_S (x^2-y^2)e^{(x+y)^2} \,dx\,dy$

Published on 11 Jul 2020 - 18:14

51

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Finding $\iint_D \frac{10}{ \sqrt {x^2 + y^2}}dx\,dy$ for $D = \{(x,y) \mid 0 \leq x \leq 1, \sqrt{1-x^2} \leq y \leq x\}$

Published on 29 Jul 2020 - 7:39

970

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Double Integral $\iint\limits_D\frac{dx\,dy}{(x^2+y^2)^2}$ where $D=\{(x,y): x^2+y^2\le1,\space x+y\ge1\}$

Published on 21 Sep 2016 - 18:52

86

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Is this way of integrating correct?

Published on 25 Sep 2016 - 21:32

79

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Why don't the bounds in this definite integral change?

Published on 16 Mar 2023 - 3:59

116

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An upper bound for an integral

Published on 27 Mar 2023 - 18:52

96

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Changing the Order of Integration in a Triple Integral

Published on 23 Jun 2023 - 4:37

84

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How does one calculate the area of a set?

Published on 13 Aug 2023 - 15:45

108

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Finding $P(X+Y<1)$ given $f(x,y) = 12xy^3$ when $0 < x < y < 1$

Published on 31 Aug 2023 - 8:15

74

Views

triple integral pyramid bounds

Published on 24 Oct 2023 - 22:32

List Question

Does the existence of the integral $\int_0^\infty f(x)dx$ imply that f(x) is bounded on $[0,\infty)$ when f(x) is continuous in this same interval?

How to evaluate $\iint_R \sin(\frac{y-x}{y+x})dydx$ with Jacobian substitution?

A lower bound for the cosine integral

What does this integral notation mean?

How to find the bounds of the volume integral $\int_\Omega (6xz + 2y +3z^2) \, \text{d} \tilde{x}$?

Help with change of variables for evaluating $\iint_S (x^2-y^2)e^{(x+y)^2} \,dx\,dy$

Finding $\iint_D \frac{10}{ \sqrt {x^2 + y^2}}dx\,dy$ for $D = \{(x,y) \mid 0 \leq x \leq 1, \sqrt{1-x^2} \leq y \leq x\}$

Double Integral $\iint\limits_D\frac{dx\,dy}{(x^2+y^2)^2}$ where $D=\{(x,y): x^2+y^2\le1,\space x+y\ge1\}$

Is this way of integrating correct?

Why don't the bounds in this definite integral change?

An upper bound for an integral

Changing the Order of Integration in a Triple Integral

How does one calculate the area of a set?

Finding $P(X+Y<1)$ given $f(x,y) = 12xy^3$ when $0 < x < y < 1$

triple integral pyramid bounds

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