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2024年12月16日 · Example 37 Evaluate ∫1 (𝑥^4 𝑑𝑥)/(𝑥 −1)(𝑥^2 + 1) Let I = ∫1 (𝑥^4 𝑑𝑥)/(𝑥 −1)(𝑥^2 + 1) 𝑑𝑥 We can write 𝑥^4/(𝑥 −1)(𝑥^2 + 1) = 𝑥^4/(𝑥^3 − 𝑥^2+ 𝑥 − 1) Dividing Numerator by denominator as follows.