Mister Exam

Other calculators


y^(2/3)

Integral of y^(2/3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  8        
  /        
 |         
 |   2/3   
 |  y    dy
 |         
/          
0          
$$\int\limits_{0}^{8} y^{\frac{2}{3}}\, dy$$
Integral(y^(2/3), (y, 0, 8))
Detail solution
  1. The integral of is when :

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                    
 |                  5/3
 |  2/3          3*y   
 | y    dy = C + ------
 |                 5   
/                      
$$\int y^{\frac{2}{3}}\, dy = C + \frac{3 y^{\frac{5}{3}}}{5}$$
The graph
The answer [src]
96/5
$$\frac{96}{5}$$
=
=
96/5
$$\frac{96}{5}$$
96/5
Numerical answer [src]
19.2
19.2
The graph
Integral of y^(2/3) dx

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