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Solving integrals/ 2*x^2+1

Integral of 2*x^2+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 -2              
  /              
 |               
 |  /   2    \   
 |  \2*x  + 1/ dx
 |               
/                
-4
$$\int\limits_{-4}^{-2} \left(2 x^{2} + 1\right)\, dx$$ 
Integral(2*x^2 + 1, (x, -4, -2))
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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                            3
 | /   2    \              2*x 
 | \2*x  + 1/ dx = C + x + ----
 |                          3  
/
$$\int \left(2 x^{2} + 1\right)\, dx = C + \frac{2 x^{3}}{3} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
118/3
$$\frac{118}{3}$$ 
=
= 
118/3
$$\frac{118}{3}$$ 
118/3
Numerical answer [src] 
39.3333333333333
39.3333333333333

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

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