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x/4
Solving integrals/ x/4

Integral of x/4 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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∫01x4 dx\int\limits_{0}^{1} \frac{x}{4}\, dx 
Integral(x/4, (x, 0, 1))
Detail solution

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

    ∫x4 dx=∫x dx4\int \frac{x}{4}\, dx = \frac{\int x\, dx}{4}

    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: x28\frac{x^{2}}{8}

  2. Add the constant of integration:

    x28+constant\frac{x^{2}}{8}+ \mathrm{constant}

The answer is:

x28+constant\frac{x^{2}}{8}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫x4 dx=C+x28\int \frac{x}{4}\, dx = C + \frac{x^{2}}{8}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.000.50
Plot the graph f(x)
The answer [src] 
1/8
18\frac{1}{8} 
=
= 
1/8
18\frac{1}{8} 
1/8
Numerical answer [src] 
0.125
0.125
The graph
Integral of x/4 dx

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

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