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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, 5 months ago

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

- 1 year, 5 months ago

thanks

- 1 year, 5 months ago

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

- 9 months, 3 weeks ago

I m in fitjee bro ...

- 1 year, 5 months ago

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.

- 1 year, 5 months ago

- 1 year, 5 months ago

Hope it helps.

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

- 1 year, 5 months ago

yes

- 1 year, 5 months ago

Nilesh are u a faculty member there

- 1 year, 5 months ago

no i am just an average class 12 student.

- 1 year, 5 months ago