Theorems · Theorem · real analysis
integral_sin_sq_mul_cos
∀ {a b : ℝ}, ∫ (x : ℝ) in a..b, Real.sin x ^ 2 * Real.cos x = (Real.sin b ^ 3 - Real.sin a ^ 3) / 3- Cited by
- 0 results in Mathlib
- Foundations
- Depth 273 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Nat.cast_oneproof · cited by 2,501
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- intervalIntegralstatement and proof · cited by 546
- Real.cosstatement and proof · cited by 424
- Real.sinstatement and proof · cited by 389
- integral_powproof · cited by 8
- integral_sin_pow_mul_cos_pow_oddproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.