If , where , then and ordered set…

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

\int \frac{e^{x-1}}{(x^2-5x+4)^2} \cdot 2x\,dx = AF(x-1) + BF(x-4) + c

, where

F(x) = \int \frac{e^x}{x} dx

, then

A

and

B

ordered set is: (a)

\left( -\frac{2}{3}, \frac{8}{3} \right)

(b)

\left( -\frac{2}{3}, \frac{8e^3}{3} \right)

(c)

\left( \frac{8}{3}, \frac{2}{3} \right)

(d)

\left( -\frac{2}{3}, -\frac{8e^3}{3} \right)