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Identical expressions
(seven *x^ five - three *x^ four +x^ two)/x^ two
(7 multiply by x to the power of 5 minus 3 multiply by x to the power of 4 plus x squared ) divide by x squared
(seven multiply by x to the power of five minus three multiply by x to the power of four plus x to the power of two) divide by x to the power of two
(7*x5-3*x4+x2)/x2
7*x5-3*x4+x2/x2
(7*x⁵-3*x⁴+x²)/x²
(7*x to the power of 5-3*x to the power of 4+x to the power of 2)/x to the power of 2
(7x^5-3x^4+x^2)/x^2
(7x5-3x4+x2)/x2
7x5-3x4+x2/x2
7x^5-3x^4+x^2/x^2
(7*x^5-3*x^4+x^2) divide by x^2
(7*x^5-3*x^4+x^2)/x^2dx
Similar expressions
(7*x^5+3*x^4+x^2)/x^2
(7*x^5-3*x^4-x^2)/x^2
What you mean?
(7*x^5 - 3*x^4 + x^2)/(x^2)
(7*x^5 - 3*x^4 + x^2)*2/x
(7*x^5 - 3*x^4 + x^2)/(x^2)
7*(x^5 - 3*x^4 + x^2)/(x^2)
7*(x^5 - 3*x^4 + x^2)*2/x
7*(x^5 - 3*x^4 + x^2)/(x^2)
7*x^5 - 3*x^4 + x^2/(x^2)

Solving integrals/ (7*x^5-3*x^4+x^2)/x^2

You entered:

(7*x^5-3*x^4+x^2)/x^2

What you mean?

(7*x^5 - 3*x^4 + x^2)/(x^2)

(7*x^5 - 3*x^4 + x^2)*2/x

(7*x^5 - 3*x^4 + x^2)/(x^2)

7*(x^5 - 3*x^4 + x^2)/(x^2)

7*(x^5 - 3*x^4 + x^2)*2/x

7*(x^5 - 3*x^4 + x^2)/(x^2)

7*x^5 - 3*x^4 + x^2/(x^2)

Integral of (7x^5-3x^4+x^2)/x^2 dx

The solution

You have entered [src]

  1                    
  /                    
 |                     
 |     5      4    2   
 |  7*x  - 3*x  + x    
 |  ---------------- dx
 |          2          
 |         x           
 |                     
/                      
0

$$\int\limits_{0}^{1} \frac{7 x^{5} - 3 x^{4} + x^{2}}{x^{2}}\, dx$$

Integral((7*x^5 - 3*x^4 + x^2)/(x^2), (x, 0, 1))

Detail solution

Rewrite the integrand:

$\frac{7 x^{5} - 3 x^{4} + x^{2}}{x^{2}} = 7 x^{3} - 3 x^{2} + 1$
Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 7 x^{3}\, dx = 7 \int x^{3}\, dx$
  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: $\frac{7 x^{4}}{4}$
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. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
The result is: $\frac{7 x^{4}}{4} - x^{3} + x$
Add the constant of integration:

$\frac{7 x^{4}}{4} - x^{3} + x+ \mathrm{constant}$

The answer is:

$\frac{7 x^{4}}{4} - x^{3} + x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                       
 |                                        
 |    5      4    2                      4
 | 7*x  - 3*x  + x                3   7*x 
 | ---------------- dx = C + x - x  + ----
 |         2                           4  
 |        x                               
 |                                        
/

$${{7\,x^4-4\,x^3+4\,x}\over{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

7/4

$${{7}\over{4}}$$

7/4

$$\frac{7}{4}$$

Упростить

Numerical answer [src]

1.75

1.75

The graph

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

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What you mean?

Integral of (7x^5-3x^4+x^2)/x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution

Other calculators

How to use it?

Identical expressions

Similar expressions

What you mean?

You entered:

What you mean?

Integral of (7*x^5-3*x^4+x^2)/x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution

Integral of (7x^5-3x^4+x^2)/x^2 dx