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-3/x
Solving integrals/ -3/x

Integral of -3/x dx

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The solution

You have entered [src] 
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∫01(−3x) dx\int\limits_{0}^{1} \left(- \frac{3}{x}\right)\, dx 
Integral(-3/x, (x, 0, 1))
Detail solution

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

    ∫(−3x) dx=−3∫1x dx\int \left(- \frac{3}{x}\right)\, dx = - 3 \int \frac{1}{x}\, dx

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

    So, the result is: −3log⁡(x)- 3 \log{\left(x \right)}

  2. Add the constant of integration:

    −3log⁡(x)+constant- 3 \log{\left(x \right)}+ \mathrm{constant}

The answer is:

−3log⁡(x)+constant- 3 \log{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | -3                   
 | --- dx = C - 3*log(x)
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∫(−3x) dx=C−3log⁡(x)\int \left(- \frac{3}{x}\right)\, dx = C - 3 \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] 
-132.271338401979
-132.271338401979
The graph
Integral of -3/x dx

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

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