NCERT Example 5 - Integrals

Question: Integrate: (i) sin mx (ii) 2x sin(x^2 + 1) (iii) (tan^4 sqrt(x) sec^2 sqrt(x))/sqrt(x) (iv) sin(tan^{-1} x)/(1 + x^2).

Answer: (i) -(1/m) cos mx + C; (ii) -cos(x^2 + 1) + C; (iii) (2/5) tan^5 sqrt(x) + C; (iv) -cos(tan^{-1} x) + C.

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

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