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Solving integrals/ x⁴

Integral of x⁴ dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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

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

    ∫x4 dx=x55\int x^{4}\, dx = \frac{x^{5}}{5}

  2. Add the constant of integration:

    x55+constant\frac{x^{5}}{5}+ \mathrm{constant}

The answer is:

x55+constant\frac{x^{5}}{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |              5
 |  4          x 
 | x  dx = C + --
 |             5 
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∫x4 dx=C+x55\int x^{4}\, dx = C + \frac{x^{5}}{5}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/5
15\frac{1}{5} 
=
= 
1/5
15\frac{1}{5} 
1/5
Numerical answer [src] 
0.2
0.2
The graph
Integral of x⁴ dx

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

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