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Most Important Selected Qs for JEE AdvancedMathematicsDefinite Integration

Let f(x)=x^3+3 x^2-6 x+11, g(x)= |x| . If A=f (g^ (-1) ), B=g (f^ (-1), C= _ -2 ^1 f^ (x) g^ (f(x)) d x . , D= d d t ₁^ t^2 g(x) d x evaluated at t=3 and A(B+C)-D=k (3) then the value of k is ___________

Correct answer

7

Step-by-step solution

aligned & A=f(-1)=19 & B=g(-9)=2 3 & C= _ -2 ^1 3 (x^2+2 x-2 ) x^3+3 x^2-6 x+11 d x= 9- 27=- 3 aligned aligned & D= d d t ₁^ t^2 g(x) d x=6 g(9)=12 3 & A(B+C)-D=7 3 k=7 aligned

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