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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 a differentiable function f(x) satisfies f(x) · f'(-x) = f(-x)...

Let a differentiable function

f(x)

satisfies

f(x) \cdot f'(-x) = f(-x) \cdot f'(x)

and

f(0) = 1

. Find the value of

\int_{-2}^2 \frac{dx}{1 + f(x)}

.

Correct answer

2

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