Mister Exam

Integral of x^3dy dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |   3     
 |  x *1 dy
 |         
/          
0          
01x31dy\int\limits_{0}^{1} x^{3} \cdot 1\, dy
Integral(x^3*1, (y, 0, 1))
Detail solution
  1. The integral of a constant is the constant times the variable of integration:

    x31dy=x3y\int x^{3} \cdot 1\, dy = x^{3} y

  2. Add the constant of integration:

    x3y+constantx^{3} y+ \mathrm{constant}


The answer is:

x3y+constantx^{3} y+ \mathrm{constant}

The answer (Indefinite) [src]
  /                  
 |                   
 |  3               3
 | x *1 dy = C + y*x 
 |                   
/                    
x3yx^3\,y
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
The answer [src]
 3
x 
x3x^3
=
=
 3
x 
x3x^{3}
The graph
Integral of x^3dy dx

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