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Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

If x f(x)=3(f(x))^2+2 , then 2 x^2-12 x f(x)+f(x) (6 f(x)-x) (x^2-f(x) )^2 d x equals to

Options

A1 x^2-f(x) +c
B1 x^2+f(x) +c
C1 x-f(x) +c
D1 x+f(x) +c

Correct answer

A. 1 x^2-f(x) +c

Step-by-step solution

aligned & f^ (x)= f(x) 6 f(x)-x & I=- 2 x-f^ (x) (x^2-f(x) )^2 d x= 1 x^2-f(x) +C aligned

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