Which of the following statements are true?
(1) \( \int_{-\pi / 2}^{\pi / 2} \frac{\pi^{\sin x}}....
Which of the following statements are true?
\( \mathrm{P} \)
(1) \( \int_{-\pi / 2}^{\pi / 2} \frac{\pi^{\sin x}}{1+\pi^{\sin x}} d x=\frac{\pi}{2} \)
(2) \( \int_{0}^{\pi} \frac{d x}{1+2^{\tan x}}=\frac{\pi}{2} \)
(3) \( \int_{-3 \pi / 2}^{-\pi / 2}\left[(x+\pi)^{3}+\cos ^{2}(3 \pi+x)\right] d x=\frac{\pi}{2} \)
(4) \( \lim _{x \rightarrow \pi / 4} \frac{\int_{2}^{\sec ^{2} x} f(t) d t}{x^{2}-\pi^{2} / 16}=\frac{2}{\pi} f(2) \)
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(4) (D) (8) (9) \( \infty \)
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