NCERT Example 37 - Integrals

Question: Find int x^4 / ((x - 1)(x^2 + 1)) dx.

Answer: x + (1/2) log|x - 1| - (1/4) log(x^2 + 1) - (1/2) tan^{-1} x + C.

Full step-by-step NCERT solution with diagrams on Something by Zero.

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