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Similar expressions
(2x^2-3)dx

Solving integrals/ (2x^2+3)dx

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

The solution

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

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

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

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:
  
  $\int 3\, dx = 3 x$
The result is: $\frac{2 x^{3}}{3} + 3 x$
Now simplify:

$\frac{x \left(2 x^{2} + 9\right)}{3}$
Add the constant of integration:

$\frac{x \left(2 x^{2} + 9\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(2 x^{2} + 9\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

11/3

$$\frac{11}{3}$$

11/3

$$\frac{11}{3}$$

11/3

Numerical answer [src]

3.66666666666667

3.66666666666667

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 (2x^2+3)dx dx

Limits of integration:

The graph:

Piecewise:

The solution