definite integral (15 may)

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\hspace{-16}$If $\bf{\mathbb{I}=\int_{0}^{\pi}\frac{\sin(884\;x).\sin(1122\;x)}{\sin (x)}dx}$ and $\bf{\mathbb{J}=\int_{0}^{1}\frac{x^{238}.(x^{1768}-1)}{(x^2-1)}dx}$\\\\\\ Then value of $\bf{\frac{\mathbb{I}}{\mathbb{J}}=}$

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Basic Integral Calculus Operators Symbols Matrix Cases

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+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

definite integral (15 may)

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