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Somebody please provide the solution for this integral. Thanks a lot for the help. \(\int { [\ln { ({ e }^{ { x }^{ 2 } } } +1)\quad +\quad 2\{ \frac { { e }^{ { x }^{ 2 } }(2{ x }^{ 2 }-1)-1 }{ ({ e }^{ { x }^{ 2 } }+1)^{ 2 } } \} ]dx }\)

Note by Jay Verma 2 weeks, 1 day ago

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2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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Can you explain what you have tried? What makes you think there is a beautiful solution to this problem?

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Its not the solution but the problem that's beautiful.

What makes you think that there is a "nice" answer to this integral?

Or better yet, where did you find this integral?

Yeah, this link: http://durofy.com/5-most-beautiful-questions-from-integral-calculus/

What makes them "beautiful"? They all appear to be randomly constructed.

It's easy to see that Question 1 has a closed form via a simple substitution of y=x^pi + 7, but that doesn't make the integral beautiful.

@Pi Han Goh – Care to say anything about the other 4 questions?

@Jay Verma – They all appear to be randomly constructed.

@Pi Han Goh – I don't find that reason good enough to undermine their beauty.

Someone please give a solution.

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestCan you explain what you have tried? What makes you think there is a beautiful solution to this problem?

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Its not the solution but the problem that's beautiful.

Log in to reply

What makes you think that there is a "nice" answer to this integral?

Or better yet, where did you find this integral?

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Yeah, this link: http://durofy.com/5-most-beautiful-questions-from-integral-calculus/

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What makes them "beautiful"? They all appear to be randomly constructed.

It's easy to see that Question 1 has a closed form via a simple substitution of y=x^pi + 7, but that doesn't make the integral beautiful.

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Someone please give a solution.

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