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Integral of d{x}:
Integral of x²dx
Integral of ex
Integral of 1/t
Integral of x/x^2
Identical expressions
two *x^ four -x^ three + three -(four *x^ two /x^ three - one)
2 multiply by x to the power of 4 minus x cubed plus 3 minus (4 multiply by x squared divide by x cubed minus 1)
two multiply by x to the power of four minus x to the power of three plus three minus (four multiply by x to the power of two divide by x to the power of three minus one)
2*x4-x3+3-(4*x2/x3-1)
2*x4-x3+3-4*x2/x3-1
2*x⁴-x³+3-(4*x²/x³-1)
2*x to the power of 4-x to the power of 3+3-(4*x to the power of 2/x to the power of 3-1)
2x^4-x^3+3-(4x^2/x^3-1)
2x4-x3+3-(4x2/x3-1)
2x4-x3+3-4x2/x3-1
2x^4-x^3+3-4x^2/x^3-1
2*x^4-x^3+3-(4*x^2 divide by x^3-1)
2*x^4-x^3+3-(4*x^2/x^3-1)dx
Similar expressions
2*x^4-x^3+3+(4*x^2/x^3-1)
2*x^4-x^3-3-(4*x^2/x^3-1)
2*x^4+x^3+3-(4*x^2/x^3-1)
2*x^4-x^3+3-(4*x^2/x^3+1)
What you mean?
2*x^4 - x^3 + 3 - (4*x^2/(x^3) - 1*1)
2*x^4 - x^3 + 3 - (4*x^((2/x)^3) - 1*1)
2*x^4 - x^3 + 3 - 4*x^2/(x^3 - 1*1)
2*x^4 - x^3 + 3 - (4*x^2/(x^3) - 1*1)
2*x^4 - x^3 + 3 - (4*x^2*3/x - 1*1)
2*x^4 - x^3 + 3 - (4*x^2/(x^3) - 1*1)
2*x^4 - x^3 + 3 - (4*x^2*3/x - 1*1)

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

You entered:

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

What you mean?

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

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

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

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

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

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

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

Integral of 2x^4-x^3+3-(4x^2/x^3-1) dx

The solution

You have entered [src]

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

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

Integral(2*x^4 - x^3 + 3 - (4*x^2/(x^3) - 1*1), (x, 0, 0))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 2 x^{4}\, dx = 2 \int x^{4}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{4}\, dx = \frac{x^{5}}{5}$
  So, the result is: $\frac{2 x^{5}}{5}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- x^{3}\right)\, dx = - \int x^{3}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{3}\, dx = \frac{x^{4}}{4}$
  So, the result is: $- \frac{x^{4}}{4}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- (\frac{4 x^{2}}{x^{3}} - 1)\right)\, dx = - \int \left(\frac{4 x^{2}}{x^{3}} - 1\right)\, dx$
  1. Integrate term-by-term:
    1. The integral of a constant times a function is the constant times the integral of the function:
      
      $\int \frac{4 x^{2}}{x^{3}}\, dx = 4 \int \frac{x^{2}}{x^{3}}\, dx$
      1. Don't know the steps in finding this integral.
        
        But the integral is
        
        $\log{\left(x \right)}$
      So, the result is: $4 \log{\left(x \right)}$
    1. The integral of a constant is the constant times the variable of integration:
      
      $\int \left(\left(-1\right) 1\right)\, dx = - x$
    The result is: $- x + 4 \log{\left(x \right)}$
  So, the result is: $x - 4 \log{\left(x \right)}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 3\, dx = 3 x$
The result is: $\frac{2 x^{5}}{5} - \frac{x^{4}}{4} + 4 x - 4 \log{\left(x \right)}$
Add the constant of integration:

$\frac{2 x^{5}}{5} - \frac{x^{4}}{4} + 4 x - 4 \log{\left(x \right)}+ \mathrm{constant}$

The answer is:

$\frac{2 x^{5}}{5} - \frac{x^{4}}{4} + 4 x - 4 \log{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                                                
 |                                                                 
 | /                /   2    \\                            4      5
 | |   4    3       |4*x     ||                           x    2*x 
 | |2*x  - x  + 3 - |---- - 1|| dx = C - 4*log(x) + 4*x - -- + ----
 | |                |  3     ||                           4     5  
 | \                \ x      //                                    
 |                                                                 
/

$$-4\,\log x+{{2\,x^5}\over{5}}-{{x^4}\over{4}}+4\,x$$

Simplify

The answer [src]

$$0$$

Simplify

Numerical answer [src]

0.0

0.0

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

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What you mean?

Integral of 2x^4-x^3+3-(4x^2/x^3-1) dx

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Piecewise:

The solution

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Identical expressions

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What you mean?

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

Limits of integration:

The graph:

Piecewise:

The solution

Integral of 2x^4-x^3+3-(4x^2/x^3-1) dx