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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

If I_n = ∫_0^π ( (2nx))/( 2x) dx , then the value of I_ n+(1)/(2)...

If

I_n = \int_0^\pi \frac{\sin(2nx)}{\sin 2x} dx

, then the value of

I_{n+\frac{1}{2}}

is equal to

(n \in I)

:

Options

A $\frac{n\pi}{2}$
B $\pi$
C $\frac{\pi}{2}$
D0

Correct answer

D. 0

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