A) \[\frac{1}{x-5}+c\]
B) \[-\frac{1}{x-5}+c\]
C) \[\frac{2}{(x+5)}+c\]
D) none of these
Correct Answer: B
Solution :
\[\int_{{}}^{{}}{\frac{dx}{{{(x-5)}^{2}}}=}\int_{{}}^{{}}{{{(x-5)}^{-1}}dx\Rightarrow \frac{{{(x-5)}^{-2+1}}}{-2+1}}\]\[=-\frac{1}{x-5}+c\]You need to login to perform this action.
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