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5/x
Solving integrals/ 5/x

Integral of 5/x dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1     
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∫015x dx\int\limits_{0}^{1} \frac{5}{x}\, dx 
Integral(5/x, (x, 0, 1))
Detail solution

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

    ∫5x dx=5∫1x dx\int \frac{5}{x}\, dx = 5 \int \frac{1}{x}\, dx

    1. The integral of 1x\frac{1}{x} is log⁡(x)\log{\left(x \right)}.

    So, the result is: 5log⁡(x)5 \log{\left(x \right)}

  2. Add the constant of integration:

    5log⁡(x)+constant5 \log{\left(x \right)}+ \mathrm{constant}

The answer is:

5log⁡(x)+constant5 \log{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                   
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 | 5                  
 | - dx = C + 5*log(x)
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∫5x dx=C+5log⁡(x)\int \frac{5}{x}\, dx = C + 5 \log{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-5000050000
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
Integral of 5/x dx

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

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