Careful thinking to update our minds

Calculus Level 3

Consider the following statements:

Statement p: \(~~~~\displaystyle \int_{-1}^{1} \dfrac{d x}{x} = 0\)

Statement q: \(~~~~\Large ^{\lim}_{n \to \infty}\) \(\displaystyle \int_{-n}^{n} \dfrac{d x}{x} = 0\)

Are they respectively true or false?

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