NCERT Example 25 - Integrals

Question: Evaluate: (i) int_2^3 x^2 dx (ii) int_4^9 x/(30 - x^2)^2 dx (iii) int_1^2 x/((x+1)(x+2)) dx (iv) int_0^{pi/4} sin^3 2t cos 2t dt.

Answer: (i) 19/3; (ii) 19/99; (iii) log(32/27); (iv) 1/8.

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

All Chapter 7 solutions