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Solving integrals/ y*x

Integral of y*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 625      
  /       
 |        
 |  y*x dx
 |        
/         
500
$$\int\limits_{500}^{625} x y\, dx$$ 
Integral(y*x, (x, 500, 625))
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
 |              y*x 
 | y*x dx = C + ----
 |               2  
/
$$\int x y\, dx = C + \frac{x^{2} y}{2}$$
Simplify
The answer [src] 
140625*y
--------
   2
$$\frac{140625 y}{2}$$ 
=
= 
140625*y
--------
   2
$$\frac{140625 y}{2}$$ 
140625*y/2

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

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