Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

If x^2 x^4+3 x^2+9 d x=A ⁻¹ ( x^2-3 3 x )+ B 3 | x^2- 3 x+3 x^2+ 3 x+3 |+c , then find the value of 12(A+B)

Correct answer

Step-by-step solution

x^2 x^4+3 x^2+9 d x= 1 2 x^2+3+x^2-3 x^4+9+3 x^2 d x= 1 2 d (x- 3 x ) (x- 3 x )^2+9 + 1 2 d (x+ 3 x ) (x+ 3 x )^2-3 = 1 6 ⁻¹ x^2-3 3 x + 1 4 3 | x^2- 3 x+3 x^2+ 3 x+3 |+c aligned & A= 1 6 , B= 1 4 & 12(A+B)=5 aligned

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