Integrate the function $\frac{5}{x}$ from $-5$ to $-2$

Step-by-step Solution

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Final answer to the problem

The integral diverges.

Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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The integral of the inverse of the lineal function is given by the following formula, $\displaystyle\int\frac{1}{x}dx=\ln(x)$

Learn how to solve integrals of rational functions problems step by step online.

$\left[5\ln\left|x\right|\right]_{-5}^{-2}$

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Learn how to solve integrals of rational functions problems step by step online. Integrate the function 5/x from -5 to -2. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). Replace the integral's limit by a finite value. Evaluate the definite integral. Simplify the expression.

Final answer to the problem

The integral diverges.

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Function Plot

Plotting: $\frac{5}{x}$

Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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