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How to use it?
Integral of d{x}:
Integral of dx/(9*x^2-1)
Integral of e^(2*x)*cos(3*x)*dx
Integral of -cos(2x)
Integral of dx/(5-2*x)
y*x^2
Limit of the function:
y*x^2
Identical expressions
y*x^ two
y multiply by x squared
y multiply by x to the power of two
y*x2
y*x²
y*x to the power of 2
yx^2
yx2
y*x^2dx

Solving integrals/ y*x^2

Integral of y*x^2 dy

The solution

You have entered [src]

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

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

Detail solution

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

$\int x^{2} y\, dy = x^{2} \int y\, dy$
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 
 | y*x  dy = C + -----
 |                 2  
/

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

Simplify

The answer [src]

 2
x 
--
2

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

=

 2
x 
--
2

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

x^2/2

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