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- Integrate by partial fractions
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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 improper integrals problems step by step online.
$\int x^{-3}dx$
Learn how to solve improper integrals problems step by step online. Integrate the function 1/(x^3) from -infinity to -1. 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 -3. Add the initial limits of integration. Replace the integral's limit by a finite value.
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