Integral of 5/x dx

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$$\int\limits_{0}^{1} \frac{5}{x}\, dx$$

Integral(5/x, (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int \frac{5}{x}\, dx = 5 \int \frac{1}{x}\, dx$
1. The integral of $\frac{1}{x}$ is $\log{\left(x \right)}$ .
So, the result is: $5 \log{\left(x \right)}$
Add the constant of integration:

$5 \log{\left(x \right)}+ \mathrm{constant}$

The answer is:

$5 \log{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
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 | 5                  
 | - dx = C + 5*log(x)
 | x                  
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$$\int \frac{5}{x}\, dx = C + 5 \log{\left(x \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

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$$\infty$$

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$$\infty$$

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Numerical answer [src]

220.452230669964

220.452230669964

The graph

Use the examples entering the upper and lower limits of integration.