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Integral of 2x+3x^2 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  5                
  /                
 |                 
 |  /         2\   
 |  \2*x + 3*x / dx
 |                 
/                  
0                  
$$\int\limits_{0}^{5} \left(3 x^{2} + 2 x\right)\, dx$$
Integral(2*x + 3*x^2, (x, 0, 5))
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\           2    3
 | \2*x + 3*x / dx = C + x  + x 
 |                              
/                               
$$\int \left(3 x^{2} + 2 x\right)\, dx = C + x^{3} + x^{2}$$
The graph
The answer [src]
150
$$150$$
=
=
150
$$150$$
150
Numerical answer [src]
150.0
150.0

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