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Solving integrals/ 3xy

Integral of 3xy dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  3*x*y dx
 |          
/           
0
$$\int\limits_{0}^{1} 3 x y\, dx$$
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
 |                3*y*x 
 | 3*x*y dx = C + ------
 |                  2   
/
$${{3\,x^2\,y}\over{2}}$$
Simplify
The answer [src] 
3*y
---
 2
$${{3\,y}\over{2}}$$ 
=
= 
3*y
---
 2
$$\frac{3 y}{2}$$
Simplify

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

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