Update specialFunctions_Integral_log_sin.lean
This commit is contained in:
parent
6329e081a3
commit
9341f6a24f
@ -105,6 +105,8 @@ lemma intervalIntegrable_log_sin₁ : IntervalIntegrable (log ∘ sin) volume 0
|
||||
|
||||
have int_log : IntervalIntegrable (fun x ↦ ‖log x‖) volume 0 1 := by
|
||||
apply IntervalIntegrable.norm
|
||||
-- Extract lemma here: log is integrable on [0, 1], and in fact on any
|
||||
-- interval [a, b]
|
||||
rw [← neg_neg log]
|
||||
apply IntervalIntegrable.neg
|
||||
apply intervalIntegrable_deriv_of_nonneg (g := fun x ↦ -(x * log x - x))
|
||||
|
Loading…
Reference in New Issue
Block a user