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Question 1
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If for non-zero x, $cf(x)+df\Bigg{(}\frac{1}{x}\Bigg{)}=|\log |x||+3,$ where $c\ne 0$, then $\int ^e_1f(x)dx=$
A.
$\frac{(c-d)(2e-1)}{{c}^2-{d}^2}$
B.
$$\frac{(c-d)(3e-2)}{{c}^2-{d}^2}$$
C.
$$\frac{(c-d)(3e+2)}{{c}^2-{d}^2}$$
D.
$$\frac{(c-d)(2e+1)}{{c}^2-{d}^2}$$
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