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Solving integrals/ xy

Integral of xy dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |  x*y dx
 |        
/         
0
$$\int\limits_{0}^{1} x y\, dx$$
Simplify
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 
 | x*y dx = C + ----
 |               2  
/
$${{x^2\,y}\over{2}}$$
Simplify
The answer [src] 
y
-
2
$${{y}\over{2}}$$ 
=
= 
y
-
2
$$\frac{y}{2}$$
Simplify

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

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