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Integral of d{x}:
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Integral of ex^2
Integral of x^5/(x^2+1)
Integral of sin(x²)
Identical expressions
(four /x^ two + two x-3x^2)
(4 divide by x squared plus 2x minus 3x squared )
(four divide by x to the power of two plus two x minus 3x squared )
(4/x2+2x-3x2)
4/x2+2x-3x2
(4/x²+2x-3x²)
(4/x to the power of 2+2x-3x to the power of 2)
4/x^2+2x-3x^2
(4 divide by x^2+2x-3x^2)
(4/x^2+2x-3x^2)dx
Similar expressions
(4/x^2)+2*x-3*x^2
(4/x^2-2x-3x^2)
(4/x^2+2x+3x^2)
What you mean?
4/(x^2 + 2*x - 3*x^2)
4*2/(x^2 + 2*x - 3*x)
4/((x^2 + 2*x - 3*x)^2)
4*x^2/(x^2 + 2*x - 1*3)
4/(x^2 + 2*x) - 3*x^2
4*x/(x^2 + 2) - 3*x^2
4/(x^2) + 2*x - 3*x^2

You entered:

(4/x^2+2x-3x^2)

What you mean?

4/(x^2 + 2*x - 3*x^2)

4*2/(x^2 + 2*x - 3*x)

4/((x^2 + 2*x - 3*x)^2)

4*x^2/(x^2 + 2*x - 1*3)

4/(x^2 + 2*x) - 3*x^2

4*x/(x^2 + 2) - 3*x^2

4/(x^2) + 2*x - 3*x^2

Integral of (4/x^2+2x-3x^2) dx

The solution

You have entered [src]

  1                     
  /                     
 |                      
 |  /4             2\   
 |  |-- + 2*x - 3*x | dx
 |  | 2             |   
 |  \x              /   
 |                      
/                       
0

$$\int\limits_{0}^{1} \left(- 3 x^{2} + 2 x + \frac{4}{x^{2}}\right)\, dx$$

Integral(4/(x^2) + 2*x - 3*x^2, (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:
  
  $\int \left(- 3 x^{2}\right)\, dx = - \int 3 x^{2}\, dx$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 3 x^{2}\, dx = 3 \int x^{2}\, dx$
    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: $x^{3}$
  So, the result is: $- x^{3}$
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:
  
  $\int \frac{4}{x^{2}}\, dx = 4 \int \frac{1}{x^{2}}\, dx$
  1. Rewrite the integrand:
    
    $\frac{1}{x^{2}} = \tilde{\infty} 0$
  2. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int \tilde{\infty} 0\, dx = \tilde{\infty} \int 0\, dx$
    1. Integrate term-by-term:
      1. The integral of $\frac{1}{x}$ is $\log{\left(x \right)}$ .
      1. The integral of a constant times a function is the constant times the integral of the function:
        
        $\int \left(- \frac{1}{x}\right)\, dx = - \int \frac{1}{x}\, dx$
        
        The integral of $\frac{1}{x}$ is $\log{\left(x \right)}$ .
        
        So, the result is: $- \log{\left(x \right)}$
      The result is: $0$
    So, the result is: $\text{NaN}$
  So, the result is: $\text{NaN}$
The result is: $\text{NaN}$
Add the constant of integration:

$\text{NaN}+ \mathrm{constant}$

The answer is:

$\text{NaN}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

$$-x^3+x^2-{{4}\over{x}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$${\it \%a}$$

oo

$$\infty$$

Упростить

Numerical answer [src]

5.51729471179439e+19

5.51729471179439e+19

The graph

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

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Identical expressions

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What you mean?

You entered:

What you mean?

Integral of (4/x^2+2x-3x^2) dx

Limits of integration:

The graph:

Piecewise:

The solution