Final answer to the problem
Step-by-step Solution
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Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
Learn how to solve integrals of rational functions problems step by step online.
$\int x^{-4}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(x^4))dx. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. 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 -4. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.