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Integrate the function $\frac{2}{x}$ from $-131$ to $-111$

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
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  • 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, $\displaystyle\int\frac{1}{x}dx=\ln(x)$

$\left[2\ln\left|x\right|\right]_{-131}^{-111}$

Learn how to solve definite integrals problems step by step online.

$\left[2\ln\left|x\right|\right]_{-131}^{-111}$

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Learn how to solve definite integrals problems step by step online. Integrate the function 2/x from -131 to -111. 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 inside the integral.

Final answer to the problem

The integral diverges.

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Function Plot

Plotting: $\frac{2}{x}$

Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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