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Solving integrals/ 0,136*x*y

Integral of 0,136*x*y dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 4 - y         
   /           
  |            
  |   17*x*y   
  |   ------ dx
  |    125     
  |            
 /             
 y             
 -             
 3
$$\int\limits_{\frac{y}{3}}^{4 - y} \frac{17 x y}{125}\, dx$$ 
Integral(17*x*y/125, (x, y/3, 4 - y))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                       
 |                       2
 | 17*x*y          17*y*x 
 | ------ dx = C + -------
 |  125              250  
 |                        
/
$${{17\,x^2\,y}\over{250}}$$
Simplify
The answer [src] 
      3               2
  17*y    17*y*(4 - y) 
- ----- + -------------
   2250        250
$${{17\,y\,\left({{y^2-8\,y+16}\over{2}}-{{y^2}\over{18}}\right) }\over{125}}$$ 
=
= 
      3               2
  17*y    17*y*(4 - y) 
- ----- + -------------
   2250        250
$$- \frac{17 y^{3}}{2250} + \frac{17 y \left(4 - y\right)^{2}}{250}$$
Упростить

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

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