Final Answer
$\frac{1}{4}x^{8}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{4}{2x^{\left(7\right)\left(-1\right)}}dx$
Specify the solving method
1
Cancel the fraction's common factor $2$
$\int\frac{2}{x^{-7}}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{2}{x^{-7}}dx$
Learn how to solve integrals of rational functions 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
$\frac{1}{4}x^{8}+C_0$