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Integral of d{x}:
Integral of 2xy^2
Integral of sinh(3x)
Integral of cos^2t*sint
Integral of cosy
2xy^2
The double integral of:
2xy^2
Identical expressions
two xy^2
2xy squared
two xy squared
2xy2
2xy²
2xy to the power of 2
2xy^2dx

Solving integrals/ 2xy^2

Integral of 2xy^2 dx

The solution

You have entered [src]

  1          
  /          
 |           
 |       2   
 |  2*x*y  dx
 |           
/            
0

$$\int\limits_{0}^{1} 2 x y^{2}\, dx$$

Simplify

Detail solution

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

$\int 2 x y^{2}\, dx = 2 y^{2} \int x\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x\, dx = \frac{x^{2}}{2}$
So, the result is: $x^{2} y^{2}$
Add the constant of integration:

$x^{2} y^{2}+ \mathrm{constant}$

The answer is:

$x^{2} y^{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                     
 |                      
 |      2           2  2
 | 2*x*y  dx = C + x *y 
 |                      
/

$$x^2\,y^2$$

Simplify

The answer [src]

2
y

$$y^2$$

=

2
y

$$y^{2}$$

Simplify

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