\( \int \frac{2^{x+1}-5^{x-1}}{10^{x}} d x \) is equal to \( \mathr...

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\( \int \frac{2^{x+1}-5^{x-1}}{10^{x}} d x \) is equal to
\( \mathrm{P} \)
(A) \( \frac{2}{\ln 5} 5^{x}+\frac{1}{5 \ln 2} 2^{x}+c \)
(B) \( \frac{-2}{\ln 5} 5^{-x}+\frac{1}{5 \ln 2} 2^{-x}+c \)
W
(C) \( \frac{1}{2 \ln 5} 5^{-x}-\frac{1}{5 \ln 2} 2^{-x}+c \)
(D) none of these
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