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4x^2dx
Solving integrals/ 4x^2dx

Integral of 4x^2dx dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     2     
 |  4*x *1 dx
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0
∫014x2⋅1 dx\int\limits_{0}^{1} 4 x^{2} \cdot 1\, dx
Simplify
Detail solution

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

    ∫4x2⋅1 dx=4∫x2 dx\int 4 x^{2} \cdot 1\, dx = 4 \int x^{2}\, dx

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

      ∫x2 dx=x33\int x^{2}\, dx = \frac{x^{3}}{3}

    So, the result is: 4x33\frac{4 x^{3}}{3}

  2. Add the constant of integration:

    4x33+constant\frac{4 x^{3}}{3}+ \mathrm{constant}

The answer is:

4x33+constant\frac{4 x^{3}}{3}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                    
 |                    3
 |    2            4*x 
 | 4*x *1 dx = C + ----
 |                  3  
/
4 x33{{4\,x^3}\over{3}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
4/3
43{{4}\over{3}} 
=
= 
4/3
43\frac{4}{3}
Simplify
Numerical answer [src] 
1.33333333333333
1.33333333333333
The graph
Integral of 4x^2dx dx

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

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