Mister Exam

Integral of 3/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1     
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 |  3   
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013xdx\int\limits_{0}^{1} \frac{3}{x}\, 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:

    3xdx=31xdx\int \frac{3}{x}\, 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)+constant3 \log{\left(x \right)}+ \mathrm{constant}


The answer is:

3log(x)+constant3 \log{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src]
  /                   
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3xdx=C+3log(x)\int \frac{3}{x}\, dx = C + 3 \log{\left(x \right)}
The graph
0.001.000.100.200.300.400.500.600.700.800.9040000-20000
The answer [src]
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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.