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How to use it?
Integral of d{x}:
Integral of x^3*exp(x^2)
Integral of x^2*a^x
Integral of sec³x
Integral of x*3^x
Identical expressions
x^ two *y*dy
x squared multiply by y multiply by dy
x to the power of two multiply by y multiply by dy
x2*y*dy
x²*y*dy
x to the power of 2*y*dy
x^2ydy
x2ydy
x^2*y*dydx
What you mean?
x^2*y*dy
x^(2*y)*dy
x^(2*y)*dy

Solving integrals/ x^2*y*dy

You entered:

x^2*y*dy

What you mean?

x^2*y*dy

x^(2*y)*dy

x^(2*y)*dy

Integral of x^2ydy dx

The solution

You have entered [src]

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

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

Integral(x^2*y*1, (y, 0, 1))

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

  /                     
 |                  2  2
 |  2              x *y 
 | x *y*1 dy = C + -----
 |                   2  
/

$$\int x^{2} y 1\, dy = C + \frac{x^{2} y^{2}}{2}$$

Simplify

The answer [src]

 2
x 
--
2

$$\frac{x^{2}}{2}$$

=

 2
x 
--
2

$$\frac{x^{2}}{2}$$

Упростить

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