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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

The value of _ x → (π)/(4) ∫_2^ cosec^2 x t g(t) dt x^2 -...

The value of

\lim_{x \to \frac{\pi}{4}} \frac{\int_2^{\text{cosec}^2 x} t g(t) dt}{x^2 - \frac{\pi^2}{16}}

is :

Options

A $\frac{2}{\pi} g(2)$
B $-\frac{4}{\pi} g(2)$
C $\frac{16}{\pi} g(2)$
D $-4g(2)$

Correct answer

C. $\frac{16}{\pi} g(2)$

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