Theorems · Theorem · real analysis
integral_cos_sq
∀ {a b : ℝ}, ∫ (x : ℝ) in a..b, Real.cos x ^ 2 = (Real.cos b * Real.sin b - Real.cos a * Real.sin a + b - a) / 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- Nat.cast_zeroproof · cited by 1,870
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
- one_divproof · cited by 624
- intervalIntegralstatement and proof · cited by 546
Cited by2
Results whose statement or proof uses this declaration.
- integral_sin_sq_mul_cos_sqproof · cited by 0
- integral_sqrt_one_sub_sqproof · cited by 0