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Integral of 3*x^2+3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
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 |  /   2    \   
 |  \3*x  + 3/ dx
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0                
$$\int\limits_{0}^{1} \left(3 x^{2} + 3\right)\, dx$$
Integral(3*x^2 + 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 is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                            
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 | /   2    \           3      
 | \3*x  + 3/ dx = C + x  + 3*x
 |                             
/                              
$$\int \left(3 x^{2} + 3\right)\, dx = C + x^{3} + 3 x$$
The graph
The answer [src]
4
$$4$$
=
=
4
$$4$$
4
Numerical answer [src]
4.0
4.0

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