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Identical expressions
(five *cos(x)+ two - three *x^ two + one /x-(four /x^ two + one))
(5 multiply by co sinus of e of (x) plus 2 minus 3 multiply by x squared plus 1 divide by x minus (4 divide by x squared plus 1))
(five multiply by co sinus of e of (x) plus two minus three multiply by x to the power of two plus one divide by x minus (four divide by x to the power of two plus one))
(5*cos(x)+2-3*x2+1/x-(4/x2+1))
5*cosx+2-3*x2+1/x-4/x2+1
(5*cos(x)+2-3*x²+1/x-(4/x²+1))
(5*cos(x)+2-3*x to the power of 2+1/x-(4/x to the power of 2+1))
(5cos(x)+2-3x^2+1/x-(4/x^2+1))
(5cos(x)+2-3x2+1/x-(4/x2+1))
5cosx+2-3x2+1/x-4/x2+1
5cosx+2-3x^2+1/x-4/x^2+1
(5*cos(x)+2-3*x^2+1 divide by x-(4 divide by x^2+1))
(5*cos(x)+2-3*x^2+1/x-(4/x^2+1))dx
Similar expressions
(5*cos(x)+2+3*x^2+1/x-(4/x^2+1))
(5*cos(x)+2-3*x^2-1/x-(4/x^2+1))
(5*cos(x)+2-3*x^2+1/x+(4/x^2+1))
(5*cos(x)+2-3*x^2+1/x-(4/x^2-1))
(5*cos(x)-2-3*x^2+1/x-(4/x^2+1))
(5*cosx+2-3*x^2+1/x-(4/x^2+1))

Solving integrals/ (5*cos(x)+2-3*x^2+1/x-(4/x^2+1))

Integral of (5cos(x)+2-3x^2+1/x-(4/x^2+1)) dx

The solution

You have entered [src]

  1                                        
  /                                        
 |                                         
 |  /                  2   1     4     \   
 |  |5*cos(x) + 2 - 3*x  + - + - -- - 1| dx
 |  |                      x      2    |   
 |  \                            x     /   
 |                                         
/                                          
0

$$\int\limits_{0}^{1} \left(\left(-1 - \frac{4}{x^{2}}\right) + \left(\left(- 3 x^{2} + \left(5 \cos{\left(x \right)} + 2\right)\right) + \frac{1}{x}\right)\right)\, dx$$

Integral(5*cos(x) + 2 - 3*x^2 + 1/x - 4/x^2 - 1, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. Integrate term-by-term:
  1. The integral of a constant is the constant times the variable of integration:
    
    $\int \left(-1\right)\, dx = - x$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int \left(- \frac{4}{x^{2}}\right)\, dx = - 4 \int \frac{1}{x^{2}}\, dx$
    So, the result is: $\text{NaN}$
  The result is: $\text{NaN}$
1. 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:
      
      $\int \left(- 3 x^{2}\right)\, dx = - 3 \int x^{2}\, dx$
      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: $- x^{3}$
    1. Integrate term-by-term:
      1. The integral of a constant times a function is the constant times the integral of the function:
        
        $\int 5 \cos{\left(x \right)}\, dx = 5 \int \cos{\left(x \right)}\, dx$
        
        The integral of cosine is sine:
        
        $\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}$
        
        So, the result is: $5 \sin{\left(x \right)}$
      1. The integral of a constant is the constant times the variable of integration:
        
        $\int 2\, dx = 2 x$
      The result is: $2 x + 5 \sin{\left(x \right)}$
    The result is: $- x^{3} + 2 x + 5 \sin{\left(x \right)}$
  1. The integral of $\frac{1}{x}$ is $\log{\left(x \right)}$ .
  The result is: $- x^{3} + 2 x + \log{\left(x \right)} + 5 \sin{\left(x \right)}$
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]

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

$$\int \left(\left(-1 - \frac{4}{x^{2}}\right) + \left(\left(- 3 x^{2} + \left(5 \cos{\left(x \right)} + 2\right)\right) + \frac{1}{x}\right)\right)\, dx = \text{NaN}$$

Simplify

The answer [src]

-oo

$$-\infty$$

-oo

$$-\infty$$

-oo

Numerical answer [src]

-5.51729471179439e+19

-5.51729471179439e+19

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

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Identical expressions

Similar expressions

Integral of (5cos(x)+2-3x^2+1/x-(4/x^2+1)) dx

Limits of integration:

The graph:

Piecewise:

The solution

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of (5*cos(x)+2-3*x^2+1/x-(4/x^2+1)) dx

Limits of integration:

The graph:

Piecewise:

The solution

Integral of (5cos(x)+2-3x^2+1/x-(4/x^2+1)) dx