Final answer to the problem
$-7x^{-1}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
$\int7x^{-2}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int7x^{-2}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(7/(x^2))dx. 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 (7) 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 -2. Simplify the fraction 7\left(\frac{x^{-1}}{-1}\right).
Final answer to the problem
$-7x^{-1}+C_0$
