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-2/x
Solving integrals/ -2/x

Integral of -2/x dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
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∫01(−2x) dx\int\limits_{0}^{1} \left(- \frac{2}{x}\right)\, dx 
Integral(-2/x, (x, 0, 1))
Detail solution

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

    ∫(−2x) dx=−2∫1x dx\int \left(- \frac{2}{x}\right)\, dx = - 2 \int \frac{1}{x}\, dx

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

    So, the result is: −2log⁡(x)- 2 \log{\left(x \right)}

  2. Add the constant of integration:

    −2log⁡(x)+constant- 2 \log{\left(x \right)}+ \mathrm{constant}

The answer is:

−2log⁡(x)+constant- 2 \log{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | --- dx = C - 2*log(x)
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∫(−2x) dx=C−2log⁡(x)\int \left(- \frac{2}{x}\right)\, dx = C - 2 \log{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-2500025000
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] 
-88.1808922679858
-88.1808922679858
The graph
Integral of -2/x dx

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

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