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2x^3
Solving integrals/ 2x^3

Integral of 2x^3 dx

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Piecewise:

The solution

You have entered [src] 
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∫012x3 dx\int\limits_{0}^{1} 2 x^{3}\, dx 
Integral(2*x^3, (x, 0, 1))
Detail solution

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

    ∫2x3 dx=2∫x3 dx\int 2 x^{3}\, dx = 2 \int x^{3}\, dx

    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}

    So, the result is: x42\frac{x^{4}}{2}

  2. Add the constant of integration:

    x42+constant\frac{x^{4}}{2}+ \mathrm{constant}

The answer is:

x42+constant\frac{x^{4}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | 2*x  dx = C + --
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∫2x3 dx=C+x42\int 2 x^{3}\, dx = C + \frac{x^{4}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
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12\frac{1}{2} 
=
= 
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12\frac{1}{2} 
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Numerical answer [src] 
0.5
0.5
The graph
Integral of 2x^3 dx

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

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