If ( x^3 - 2 x^2 + 5) e^ 3x ,dx , = e^ 3x (Ax^3 + Bx^2 + Cx + D) … - Vidyadip

MCQ

If $\int {({x^3} - 2{x^2} + 5){e^{3x}}\,dx} \,$ $= e^{3x} (Ax^3 + Bx^2 + Cx + D)$ then the statement which is incorrect is

A
$C + 3D = 5$
B
$A + B + 2/3 = 0$
✓
$C + 2B = 0$
D
$A + B + C = 0$

✓

Answer

Correct option: C.

$C + 2B = 0$

c
$A = \frac{1}{3}$ , $B = - 1$, $C = \frac{2}{3}$; $D = \frac{13}{9}$

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