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1/5x
Solving integrals/ 1/5x

Integral of 1/5x dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1     
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∫01x5 dx\int\limits_{0}^{1} \frac{x}{5}\, dx 
Integral(x/5, (x, 0, 1))
Detail solution

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

    ∫x5 dx=∫x dx5\int \frac{x}{5}\, dx = \frac{\int x\, dx}{5}

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

    So, the result is: x210\frac{x^{2}}{10}

  2. Add the constant of integration:

    x210+constant\frac{x^{2}}{10}+ \mathrm{constant}

The answer is:

x210+constant\frac{x^{2}}{10}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /             
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 | x          x 
 | - dx = C + --
 | 5          10
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∫x5 dx=C+x210\int \frac{x}{5}\, dx = C + \frac{x^{2}}{10}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.00.4
Plot the graph f(x)
The answer [src] 
1/10
110\frac{1}{10} 
=
= 
1/10
110\frac{1}{10} 
1/10
Numerical answer [src] 
0.1
0.1
The graph
Integral of 1/5x dx

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

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