If (x^ 3 -2 x^ 2 +5 ) e^ 3 x dx = e 3x (Ax 3 + Bx 2 + Cx + 13/9) then which of the…

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

If \(\int\left(x^{3}-2 x^{2}+5\right) e^{3 x}\)dx = e3x (Ax3 + Bx2 + Cx + 13/9) then which of the following statement is incorrect :
  1. 3C = 2
  2. \(A+B+\frac{2}{3}=0\)
  3. C + 2B = 0
  4. A + B + C = 0

Answer

(C) C + 2B = 0

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