3. Find $\int \sin(4x)\cos(5x)dx$ using Euler's identity for complex exponents.
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Step 1: Use Euler's formula e^{iθ} = cos θ + i sin θ, so cos θ = (e^{iθ} + e^{-iθ})/2 and sin θ = (e^{iθ} - e^{-iθ})/(2i). Show more…
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