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Integrate the function $\frac{5}{x}$ from $- \infty $ to 0

Step-by-step Solution

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Final answer to the problem

The integral diverges.

Step-by-step Solution

How should I solve this problem?

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

$5\ln\left(x\right)$

Learn how to solve integrals with radicals problems step by step online.

$5\ln\left(x\right)$

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Learn how to solve integrals with radicals problems step by step online. Integrate the function 5/x from -infinity to 0. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). Simplify the logarithms of the result of the integral. Add the initial limits of integration. Replace the integral's limit by a finite value.

Final answer to the problem

The integral diverges.

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Function Plot

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

Main Topic: Integrals with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

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