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4x^3
Solving integrals/ 4x^3

Integral of 4x^3 dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
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 |     3   
 |  4*x  dx
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0
∫014x3 dx\int\limits_{0}^{1} 4 x^{3}\, dx
Simplify
Detail solution

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

    ∫4x3 dx=4∫x3 dx\int 4 x^{3}\, dx = 4 \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: x4x^{4}

  2. Add the constant of integration:

    x4+constantx^{4}+ \mathrm{constant}

The answer is:

x4+constantx^{4}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
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 |    3           4
 | 4*x  dx = C + x 
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x4x^4
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
1
11 
=
= 
1
11
Simplify
Numerical answer [src] 
1.0
1.0
The graph
Integral of 4x^3 dx

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

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