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Identical expressions
zero ,75x²+x/9⁹
0,75x² plus x divide by 9⁹
zero ,75x² plus x divide by 9⁹
0,75x²+x divide by 9⁹
0,75x²+x/9⁹dx
Similar expressions
0,75x²-x/9⁹

Solving integrals/ 0,75x²+x/9⁹

Integral of 0,75x²+x/9⁹ dx

The solution

You have entered [src]

  1               
  /               
 |                
 |  /   2     \   
 |  |3*x    x |   
 |  |---- + --| dx
 |  | 4      9|   
 |  \       9 /   
 |                
/                 
0

$$\int\limits_{0}^{1} \left(\frac{3 x^{2}}{4} + \frac{x}{9^{9}}\right)\, dx$$

Integral(3*x^2/4 + x/(9^9), (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:
  
  $\int \frac{3 x^{2}}{4}\, dx = \frac{3 \int x^{2}\, dx}{4}$
  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: $\frac{x^{3}}{4}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \frac{x}{9^{9}}\, dx = \frac{\int x\, dx}{387420489}$
  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: $\frac{x^{2}}{774840978}$
The result is: $\frac{x^{3}}{4} + \frac{x^{2}}{774840978}$
Now simplify:

$\frac{x^{2} \cdot \left(387420489 x + 2\right)}{1549681956}$
Add the constant of integration:

$\frac{x^{2} \cdot \left(387420489 x + 2\right)}{1549681956}+ \mathrm{constant}$

The answer is:

$\frac{x^{2} \cdot \left(387420489 x + 2\right)}{1549681956}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                   
 |                                    
 | /   2     \           3        2   
 | |3*x    x |          x        x    
 | |---- + --| dx = C + -- + ---------
 | | 4      9|          4    774840978
 | \       9 /                        
 |                                    
/

$$\int \left(\frac{3 x^{2}}{4} + \frac{x}{9^{9}}\right)\, dx = \frac{x^{3}}{4} + \frac{x^{2}}{774840978} + C$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

387420491 
----------
1549681956

$${{387420491}\over{1549681956}}$$

387420491 
----------
1549681956

$$\frac{387420491}{1549681956}$$

Simplify

Numerical answer [src]

0.250000001290587

0.250000001290587

The graph

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

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Integral of 0,75x²+x/9⁹ dx

Limits of integration:

The graph:

Piecewise:

The solution