Mister Exam

Integral of 6xy dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  y         
  /         
 |          
 |  6*x*y dy
 |          
/           
0           
$$\int\limits_{0}^{y} 6 x y\, dy$$
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
 | 6*x*y dy = C + 3*x*y 
 |                      
/                       
$$3\,x\,y^2$$
The answer [src]
     2
3*x*y 
$$3\,x\,y^2$$
=
=
     2
3*x*y 
$$3 x y^{2}$$

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