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Let \( \displaystyle I(m) = \int_0^\pi \ln (1 - 2m \cos x + m^2) \, dx \). Find the values of \(\dfrac{I(9)}{I(3)} \) and \(I(81) \).

Note by Pratik Roy 1 year, 8 months 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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Prateek refer to amit m agarwal u will get lot stuff like this

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thanks

I m in fitjee bro ...

this solution is a great help thanks a lot man... do you have any other problems on integration like this . if you have then please do post.

Hope it helps.

P.S. this is an ai^2ts question . are you too in fiitjee ?

yes

Nilesh are u a faculty member there

no i am just an average class 12 student.

can anyone please help me out with this sum

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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

Sort by:

TopNewestPrateek refer to amit m agarwal u will get lot stuff like this

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thanks

Log in to reply

Log in to reply

I m in fitjee bro ...

Log in to reply

this solution is a great help thanks a lot man... do you have any other problems on integration like this . if you have then please do post.

Log in to reply

Log in to reply

Hope it helps.

P.S. this is an ai^2ts question . are you too in fiitjee ?

Log in to reply

yes

Log in to reply

Nilesh are u a faculty member there

Log in to reply

no i am just an average class 12 student.

Log in to reply

can anyone please help me out with this sum

Log in to reply