If ∫(x2−5x+4)ex−12xdx=AF(x−1)+BF(x−4)+CandF(x)=∫xexdx,then (a)A=−32 (b) b=(34)e3 (c)A=32 (d) d∈R

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Question

If $\int \frac{e ^{x - 1}}{( x ^{2} - 5 x + 4 )} 2 x d x = A F (x - 1) + B F (x - 4) + C a n d F (x) = \int \frac{e ^{x}}{x} d x, t h e n$ (a) $A = - \frac{2}{3}$ (b) $b = (\frac{4}{3}) e^{3}$ (c) $A = \frac{2}{3}$ (d) $d \in R$

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Charlotte Discussed

\int \frac{e ^{x - 1}}{( x ^{2} - 5 x + 4 )} 2 x d x = A F (x - 1) + B F (x - 4) + C a n d F (x) = \int \frac{e ^{x}}{x} d x, t h e n

(a)

A = - \frac{2}{3}

(b)

b = (\frac{4}{3}) e^{3}

(c)

A = \frac{2}{3}

(d)

d \in R

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Question Text

\int \frac{e ^{x - 1}}{( x ^{2} - 5 x + 4 )} 2 x d x = A F (x - 1) + B F (x - 4) + C a n d F (x) = \int \frac{e ^{x}}{x} d x, t h e n

(a)

A = - \frac{2}{3}

(b)

b = (\frac{4}{3}) e^{3}

(c)

A = \frac{2}{3}

(d)

d \in R