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Integration

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, 2 months ago

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

Satyam Tripathi - 1 year, 2 months ago

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thanks

Kalpa Roy - 1 year, 2 months ago

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  1. Let f(x) = ax2 + bx + c where a,b,c are real numbers. Suppose f(−1),f(0), f(1) ∈ [−1,1]. Prove that |f(x)| ≤ 3/2 for all x ∈ [−1,1].pratik could u please give solution for this

Sumanth Ruttala - 6 months, 3 weeks ago

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I m in fitjee bro ...

Satyam Tripathi - 1 year, 2 months ago

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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.

Pratik Roy - 1 year, 2 months ago

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Neelesh Vij - 1 year, 2 months ago

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Hope it helps.

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

Neelesh Vij - 1 year, 2 months ago

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yes

Pratik Roy - 1 year, 2 months ago

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Nilesh are u a faculty member there

Satyam Tripathi - 1 year, 2 months ago

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no i am just an average class 12 student.

Neelesh Vij - 1 year, 2 months ago

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can anyone please help me out with this sum

Pratik Roy - 1 year, 2 months ago

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