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8x^3
Solving integrals/ 8x^3

Integral of 8x^3 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
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∫018x3 dx\int\limits_{0}^{1} 8 x^{3}\, dx 
Integral(8*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:

    ∫8x3 dx=8∫x3 dx\int 8 x^{3}\, dx = 8 \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: 2x42 x^{4}

  2. Add the constant of integration:

    2x4+constant2 x^{4}+ \mathrm{constant}

The answer is:

2x4+constant2 x^{4}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | 8*x  dx = C + 2*x 
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2 x42\,x^4
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
2
22 
=
= 
2
22
Simplify
Numerical answer [src] 
2.0
2.0
The graph
Integral of 8x^3 dx

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

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