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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

For a positive integer n , let I_n = ∫_ -π ^π ( (π)/(2) - |x| ) nx...

For a positive integer

n

, let

I_n = \int_{-\pi}^\pi \left( \frac{\pi}{2} - |x| \right) \cos nx dx

. Find the value of

[I_1 + I_2 + I_3 + I_4]

where

[\cdot]

denotes greatest integer function. ***

Correct answer

4

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