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Identical expressions
x^ two +2x+3x
x squared plus 2x plus 3x
x to the power of two plus 2x plus 3x
x2+2x+3x
x²+2x+3x
x to the power of 2+2x+3x
x^2+2x+3xdx
Similar expressions
x^2+2x-3x
x^2-2x+3x

Solving integrals/ x^2+2x+3x

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

The solution

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  1                    
  /                    
 |                     
 |  / 2            \   
 |  \x  + 2*x + 3*x/ dx
 |                     
/                      
0

$$\int\limits_{0}^{1} \left(x^{2} + 2 x + 3 x\right)\, dx$$

Integral(x^2 + 2*x + 3*x, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 2 x\, dx = 2 \int x\, dx$
  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: $x^{2}$
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: $\frac{x^{3}}{3} + \frac{5 x^{2}}{2}$
Now simplify:

$\frac{x^{2} \cdot \left(2 x + 15\right)}{6}$
Add the constant of integration:

$\frac{x^{2} \cdot \left(2 x + 15\right)}{6}+ \mathrm{constant}$

The answer is:

$\frac{x^{2} \cdot \left(2 x + 15\right)}{6}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                   
 |                            3      2
 | / 2            \          x    5*x 
 | \x  + 2*x + 3*x/ dx = C + -- + ----
 |                           3     2  
/

$${{x^3}\over{3}}+{{5\,x^2}\over{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

17/6

$${{17}\over{6}}$$

17/6

$$\frac{17}{6}$$

Simplify

Numerical answer [src]

2.83333333333333

2.83333333333333

The graph

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

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Identical expressions

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

Limits of integration:

The graph:

Piecewise:

The solution