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Graphing y =:
1+2x^2
Identical expressions
one + two x^2
1 plus 2x squared
one plus two x squared
1+2x2
1+2x²
1+2x to the power of 2
1+2x^2dx
Similar expressions
1-2x^2

Integral of 1+2x^2 dx

The solution

You have entered [src]

 oo              
  /              
 |               
 |  /       2\   
 |  \1 + 2*x / dx
 |               
/                
-oo

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

Integral(1 + 2*x^2, (x, -oo, oo))

Detail solution

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 is the constant times the variable of integration:
  
  $\int 1\, dx = x$
The result is: $\frac{2 x^{3}}{3} + x$
Add the constant of integration:

$\frac{2 x^{3}}{3} + x+ \mathrm{constant}$

The answer is:

$\frac{2 x^{3}}{3} + x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                            
 |                            3
 | /       2\              2*x 
 | \1 + 2*x / 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]

oo

$$\infty$$

oo

$$\infty$$

oo

Numerical answer [src]

3.1250968980145e+57

3.1250968980145e+57

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

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Identical expressions

Similar expressions

Integral of 1+2x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution