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The value of $\int_{ - 1}^1 {\frac{{\sin x - {x^2}}}{{3 - |x|}}\,dx} $ is

Assertion $(A): \int_{-a}^a f(x) dx = \int_0^a (f(x) + f(-x)) dx$
Reason $(R): \int_a^b f(x) dx = \int_{g(a)}^{g(b)} f(g(u)) g'(u) du$
The correct option among the following is:

$\int_{0}^{\pi} [\cot x] dx = $

Which of the following statements are true?

The value of $\int_{0}^{\pi / 2} \log (\operatorname{cosec} x) d x$ is

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