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Identical expressions
(7x^ zero . four - two /xxx+ four)
(7x to the power of 0.4 minus 2 divide by xxx plus 4)
(7x to the power of zero . four minus two divide by xxx plus four)
(7x0.4-2/xxx+4)
7x0.4-2/xxx+4
7x^0.4-2/xxx+4
(7x^0.4-2 divide by xxx+4)
(7x^0.4-2/xxx+4)dx
Similar expressions
(7x^0.4+2/xxx+4)
(7x^0.4-2/xxx-4)

Integral of (7x^0.4-2/xxx+4) dx

The solution

You have entered [src]

  1                        
  /                        
 |                         
 |  /   2/5   2        \   
 |  |7*x    - -*x*x + 4| dx
 |  \         x        /   
 |                         
/                          
0

$$\int\limits_{0}^{1} \left(\left(- x \frac{2}{x} x + 7 x^{\frac{2}{5}}\right) + 4\right)\, dx$$

Integral(7*x^(2/5) - (2/x)*x*x + 4, (x, 0, 1))

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:
    
    $\int \left(- x \frac{2}{x} x\right)\, dx = - \int \frac{2 x x}{x}\, dx$
    1. The integral of a constant times a function is the constant times the integral of the function:
      
      $\int \frac{2 x x}{x}\, dx = 2 \int \frac{x x}{x}\, dx$
      1. Don't know the steps in finding this integral.
        
        But the integral is
        
        $\frac{x^{2}}{2}$
      So, the result is: $x^{2}$
    So, the result is: $- x^{2}$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 7 x^{\frac{2}{5}}\, dx = 7 \int x^{\frac{2}{5}}\, dx$
    1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
      
      $\int x^{\frac{2}{5}}\, dx = \frac{5 x^{\frac{7}{5}}}{7}$
    So, the result is: $5 x^{\frac{7}{5}}$
  The result is: $5 x^{\frac{7}{5}} - x^{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 4\, dx = 4 x$
The result is: $5 x^{\frac{7}{5}} - x^{2} + 4 x$
Add the constant of integration:

$5 x^{\frac{7}{5}} - x^{2} + 4 x+ \mathrm{constant}$

The answer is:

$5 x^{\frac{7}{5}} - x^{2} + 4 x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                               
 |                                                
 | /   2/5   2        \           2            7/5
 | |7*x    - -*x*x + 4| dx = C - x  + 4*x + 5*x   
 | \         x        /                           
 |                                                
/

$$\int \left(\left(- x \frac{2}{x} x + 7 x^{\frac{2}{5}}\right) + 4\right)\, dx = C + 5 x^{\frac{7}{5}} - x^{2} + 4 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$8$$

Numerical answer [src]

8.0

8.0

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

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Identical expressions

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Integral of (7x^0.4-2/xxx+4) dx

Limits of integration:

The graph:

Piecewise:

The solution