1.

If \[\int{\frac{dx}{{{x}^{22}}({{x}^{7}}-6)}}\]\[=A\{In{{(p)}^{6}}+9{{p}^{2}}-2{{p}^{3}}-18p\}+c\] then

A. \[A=\frac{1}{9072},p=\left( \frac{{{x}^{7}}-6}{{{x}^{7}}} \right)\]
B. \[A=\frac{1}{54432},p=\left( \frac{{{x}^{7}}-6}{{{x}^{7}}} \right)\]
C. \[A=\frac{1}{54432},p=\left( \frac{{{x}^{7}}}{{{x}^{7}}-6} \right)\]
D. \[A=\frac{1}{9072},p={{\left( \frac{{{x}^{7}}-6}{{{x}^{7}}} \right)}^{-1}}\]
Answer» C. \[A=\frac{1}{54432},p=\left( \frac{{{x}^{7}}}{{{x}^{7}}-6} \right)\]


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