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** Step-by-step Solution **

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Cancel the fraction's common factor $2$

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$\int\frac{2}{x^{-7}}dx$

Learn how to solve differential calculus problems step by step online. Find the integral int(4/(2x^(-7)))dx. Cancel the fraction's common factor 2. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 7.

** Final Answer

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