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Integral of d{x}:
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Integral of dx/x^1/3
Integral of -x^2+4
Graphing y =:
2x^2+3x+4
Canonical form:
2x^2+3x+4
Identical expressions
two x^2+3x+ four
2x squared plus 3x plus 4
two x squared plus 3x plus four
2x2+3x+4
2x²+3x+4
2x to the power of 2+3x+4
2x^2+3x+4dx
Similar expressions
2x^2-3x+4
2x^2+3x-4

Integral of 2x^2+3x+4 dx

The solution

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  4                    
  /                    
 |                     
 |  /   2          \   
 |  \2*x  + 3*x + 4/ dx
 |                     
/                      
-2

$$\int\limits_{-2}^{4} \left(\left(2 x^{2} + 3 x\right) + 4\right)\, dx$$

Integral(2*x^2 + 3*x + 4, (x, -2, 4))

Detail solution

Integrate term-by-term:
1. Integrate term-by-term:
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 2 x^{2}\, dx = 2 \int x^{2}\, dx$
    1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
      
      $\int x^{2}\, dx = \frac{x^{3}}{3}$
    So, the result is: $\frac{2 x^{3}}{3}$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 3 x\, dx = 3 \int x\, dx$
    1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
      
      $\int x\, dx = \frac{x^{2}}{2}$
    So, the result is: $\frac{3 x^{2}}{2}$
  The result is: $\frac{2 x^{3}}{3} + \frac{3 x^{2}}{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 4\, dx = 4 x$
The result is: $\frac{2 x^{3}}{3} + \frac{3 x^{2}}{2} + 4 x$
Now simplify:

$\frac{x \left(4 x^{2} + 9 x + 24\right)}{6}$
Add the constant of integration:

$\frac{x \left(4 x^{2} + 9 x + 24\right)}{6}+ \mathrm{constant}$

The answer is:

$\frac{x \left(4 x^{2} + 9 x + 24\right)}{6}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                           
 |                                    3      2
 | /   2          \                2*x    3*x 
 | \2*x  + 3*x + 4/ dx = C + 4*x + ---- + ----
 |                                  3      2  
/

$$\int \left(\left(2 x^{2} + 3 x\right) + 4\right)\, dx = C + \frac{2 x^{3}}{3} + \frac{3 x^{2}}{2} + 4 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$90$$

Numerical answer [src]

90.0

90.0

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

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Integral of 2x^2+3x+4 dx

Limits of integration:

The graph:

Piecewise:

The solution