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(3x^2+4x^3)

Integral of (3x^2+4x^3) dX

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

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  1                 
  /                 
 |                  
 |  /   2      3\   
 |  \3*x  + 4*x / dx
 |                  
/                   
0                   
$$\int\limits_{0}^{1} \left(4 x^{3} + 3 x^{2}\right)\, dx$$
Integral(3*x^2 + 4*x^3, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

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

      1. The integral of is when :

      So, the result is:

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

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                              
 |                               
 | /   2      3\           3    4
 | \3*x  + 4*x / dx = C + x  + x 
 |                               
/                                
$$x^4+x^3$$
The graph
The answer [src]
2
$$2$$
=
=
2
$$2$$
Numerical answer [src]
2.0
2.0
The graph
Integral of (3x^2+4x^3) dX

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