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How to use it?
Integral of d{x}:
Integral of ((1-x)/(1+x))^(1/2)
Integral of x*e^(5*x)*dx
Integral of ln(x+√(1+x^2))
Integral of e^(3/x)
x^3*y
Identical expressions
x^ three *y
x cubed multiply by y
x to the power of three multiply by y
x3*y
x³*y
x to the power of 3*y
x^3y
x3y
x^3*ydx

Solving integrals/ x^3*y

Integral of x^3*y dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} x^{3} y\, dx$$

Integral(x^3*y, (x, 0, 1))

Detail solution

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

$\int x^{3} y\, dx = y \int x^{3}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
So, the result is: $\frac{x^{4} y}{4}$
Add the constant of integration:

$\frac{x^{4} y}{4}+ \mathrm{constant}$

The answer is:

$\frac{x^{4} y}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  4
 |  3            y*x 
 | x *y dx = C + ----
 |                4  
/

$$\int x^{3} y\, dx = C + \frac{x^{4} y}{4}$$

Simplify

The answer [src]

y
-
4

$$\frac{y}{4}$$

=

y
-
4

$$\frac{y}{4}$$

y/4

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