NCERT Example 10 - Integrals

Question: Find (i) int (x + 2)/(2x^2 + 6x + 5) dx (ii) int (x + 3)/sqrt(5 - 4x - x^2) dx.

Answer: (i) (1/4) log|2x^2 + 6x + 5| + (1/(2 sqrt(2))) tan^{-1}((2x + 3)/sqrt(2)) + C; (ii) -sqrt(5 - 4x - x^2) + 5 sin^{-1}((x + 2)/3) + C.

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

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