NCERT Example 9 - Integrals

Question: Find (i) int dx/(x^2 - 6x + 13) (ii) int dx/(3x^2 + 13x - 10) (iii) int dx/(5x^2 - 2x).

Answer: (i) (1/2) tan^{-1}((x - 3)/2) + C; (ii) (1/17) log|(3x - 2)/(x + 5)| + C; (iii) (1/5) log|x/(5x - 2)| + C.

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