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Integral of 5x^2-4
Integral of sin(log(x))
Identical expressions
5x^ two - four
5x squared minus 4
5x to the power of two minus four
5x2-4
5x²-4
5x to the power of 2-4
5x^2-4dx
Similar expressions
5x^2+4

Integral of 5x^2-4 dx

The solution

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  2              
  /              
 |               
 |  /   2    \   
 |  \5*x  - 4/ dx
 |               
/                
0

$$\int\limits_{0}^{2} \left(5 x^{2} - 4\right)\, dx$$

Integral(5*x^2 - 4, (x, 0, 2))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 5 x^{2}\, dx = 5 \int x^{2}\, dx$
  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: $\frac{5 x^{3}}{3}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int \left(-4\right)\, dx = - 4 x$
The result is: $\frac{5 x^{3}}{3} - 4 x$
Now simplify:

$\frac{x \left(5 x^{2} - 12\right)}{3}$
Add the constant of integration:

$\frac{x \left(5 x^{2} - 12\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(5 x^{2} - 12\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                              
 |                              3
 | /   2    \                5*x 
 | \5*x  - 4/ dx = C - 4*x + ----
 |                            3  
/

$$\int \left(5 x^{2} - 4\right)\, dx = C + \frac{5 x^{3}}{3} - 4 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

16/3

$$\frac{16}{3}$$

16/3

$$\frac{16}{3}$$

16/3

Numerical answer [src]

5.33333333333333

5.33333333333333

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

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Identical expressions

Similar expressions

Integral of 5x^2-4 dx

Limits of integration:

The graph:

Piecewise:

The solution