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Solving integrals/ x³

Integral of x³ dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
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∫01x3 dx\int\limits_{0}^{1} x^{3}\, dx 
Integral(x^3, (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:

    ∫x3 dx=x44\int x^{3}\, dx = \frac{x^{4}}{4}

  2. Add the constant of integration:

    x44+constant\frac{x^{4}}{4}+ \mathrm{constant}

The answer is:

x44+constant\frac{x^{4}}{4}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫x3 dx=C+x44\int x^{3}\, dx = C + \frac{x^{4}}{4}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/4
14\frac{1}{4} 
=
= 
1/4
14\frac{1}{4} 
1/4
Numerical answer [src] 
0.25
0.25
The graph
Integral of x³ dx

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

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