Theorems · Theorem · real analysis
integral_inv_div_log
∀ {a b : ℝ}, 1 < a → 1 < b → ∫ (t : ℝ) in a..b, t⁻¹ / Real.log t = Real.log (Real.log b) - Real.log (Real.log a)The integrand is chosen to match the conclusion of Real.deriv_log_log.
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- Foundations
- Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound
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- intervalIntegral.integral_congrproof · cited by 18
- ContinuousOn.logproof · cited by 11
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