数学试题讲解

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设

I = \int_{0}^{1} \ln (x + \sqrt{x^{2} + 1}) d x, J = \int_{0}^{1} \frac{x}{\sqrt{x^{2} + 1}} d x, K = \int_{0}^{1} \arctan x d x

, 则 ( )

I < J < K

K < J < I

I < K < J

J < K < I