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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Let I_n = ∫_0^π ( ((n + (1)/(2))x))/( ((x)/(2))) dx where n ∈ W ....

Let

I_n = \int_0^\pi \frac{\sin\left(\left(n + \frac{1}{2}\right)x\right)}{\sin\left(\frac{x}{2}\right)} dx

where

n \in W

. If

I_1^2 + I_2^2 + I_3^2 + \dots + I_{20}^2 = m\pi^2

, then find the largest prime factor of

m

.

Correct answer

5

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