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Identical expressions
one . sixty-seven *x^ four - one . eighty-three *x^ three + one . eighteen *x^ two + zero . three *x
1.67 multiply by x to the power of 4 minus 1.83 multiply by x cubed plus 1.18 multiply by x squared plus 0.3 multiply by x
one . sixty minus seven multiply by x to the power of four minus one . eighty minus three multiply by x to the power of three plus one . eighteen multiply by x to the power of two plus zero . three multiply by x
1.67*x4-1.83*x3+1.18*x2+0.3*x
1.67*x⁴-1.83*x³+1.18*x²+0.3*x
1.67*x to the power of 4-1.83*x to the power of 3+1.18*x to the power of 2+0.3*x
1.67x^4-1.83x^3+1.18x^2+0.3x
1.67x4-1.83x3+1.18x2+0.3x
1.67*x^4-1.83*x^3+1.18*x^2+0.3*xdx
Similar expressions
1.67*x^4-1.83*x^3+1.18*x^2-0.3*x
1.67*x^4-1.83*x^3-1.18*x^2+0.3*x
1.67*x^4+1.83*x^3+1.18*x^2+0.3*x

Solving integrals/ 1.67*x^4-1.83*x^3+1.18*x^2+0.3*x

Integral of 1.67x^4-1.83x^3+1.18x^2+0.3x dx

The solution

You have entered [src]

 117                                  
 ---                                  
 500                                  
  /                                   
 |                                    
 |  /     4        3       2      \   
 |  |167*x    183*x    59*x    3*x|   
 |  |------ - ------ + ----- + ---| dx
 |  \ 100      100       50     10/   
 |                                    
/                                     
0

$$\int\limits_{0}^{\frac{117}{500}} \left(\frac{3 x}{10} + \left(\frac{59 x^{2}}{50} + \left(\frac{167 x^{4}}{100} - \frac{183 x^{3}}{100}\right)\right)\right)\, dx$$

Integral(167*x^4/100 - 183*x^3/100 + 59*x^2/50 + 3*x/10, (x, 0, 117/500))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \frac{3 x}{10}\, dx = \frac{3 \int x\, dx}{10}$
  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: $\frac{3 x^{2}}{20}$
1. Integrate term-by-term:
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int \frac{59 x^{2}}{50}\, dx = \frac{59 \int x^{2}\, dx}{50}$
    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: $\frac{59 x^{3}}{150}$
  1. Integrate term-by-term:
    1. The integral of a constant times a function is the constant times the integral of the function:
      
      $\int \frac{167 x^{4}}{100}\, dx = \frac{167 \int x^{4}\, dx}{100}$
      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: $\frac{167 x^{5}}{500}$
    1. The integral of a constant times a function is the constant times the integral of the function:
      
      $\int \left(- \frac{183 x^{3}}{100}\right)\, dx = - \frac{183 \int x^{3}\, dx}{100}$
      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: $- \frac{183 x^{4}}{400}$
    The result is: $\frac{167 x^{5}}{500} - \frac{183 x^{4}}{400}$
  The result is: $\frac{167 x^{5}}{500} - \frac{183 x^{4}}{400} + \frac{59 x^{3}}{150}$
The result is: $\frac{167 x^{5}}{500} - \frac{183 x^{4}}{400} + \frac{59 x^{3}}{150} + \frac{3 x^{2}}{20}$
Now simplify:

$\frac{x^{2} \left(2004 x^{3} - 2745 x^{2} + 2360 x + 900\right)}{6000}$
Add the constant of integration:

$\frac{x^{2} \left(2004 x^{3} - 2745 x^{2} + 2360 x + 900\right)}{6000}+ \mathrm{constant}$

The answer is:

$\frac{x^{2} \left(2004 x^{3} - 2745 x^{2} + 2360 x + 900\right)}{6000}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                                                       
 |                                                                        
 | /     4        3       2      \               4      2       3        5
 | |167*x    183*x    59*x    3*x|          183*x    3*x    59*x    167*x 
 | |------ - ------ + ----- + ---| dx = C - ------ + ---- + ----- + ------
 | \ 100      100       50     10/           400      20     150     500  
 |                                                                        
/

$$\int \left(\frac{3 x}{10} + \left(\frac{59 x^{2}}{50} + \left(\frac{167 x^{4}}{100} - \frac{183 x^{3}}{100}\right)\right)\right)\, dx = C + \frac{167 x^{5}}{500} - \frac{183 x^{4}}{400} + \frac{59 x^{3}}{150} + \frac{3 x^{2}}{20}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

 47327287688811 
----------------
3906250000000000

$$\frac{47327287688811}{3906250000000000}$$

 47327287688811 
----------------
3906250000000000

$$\frac{47327287688811}{3906250000000000}$$

47327287688811/3906250000000000

Numerical answer [src]

0.0121157856483356

0.0121157856483356

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

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Integral of 1.67x^4-1.83x^3+1.18x^2+0.3x dx

Limits of integration:

The graph:

Piecewise:

The solution

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How to use it?

Identical expressions

Similar expressions

Integral of 1.67*x^4-1.83*x^3+1.18*x^2+0.3*x dx

Limits of integration:

The graph:

Piecewise:

The solution

Integral of 1.67x^4-1.83x^3+1.18x^2+0.3x dx