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

Step-by-step Solution

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Final Answer

The integral diverges.

Step-by-step Solution

Problem to solve:

$\int_{131\left(-1\right)}^{111\left(-1\right)}\frac{2}{x}dx$

Specify the solving method

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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.

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

Unlock the first 2 steps of this solution!

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). Evaluate the definite integral. Simplifying. When the limits of the integral do not exist, it is said that the integral is divergent.

Final Answer

The integral diverges.
$\int_{131\left(-1\right)}^{111\left(-1\right)}\frac{2}{x}dx$

Main topic:

Definite Integrals

Time to solve it:

~ 0.04 s