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1/6t^3
Solving integrals/ 1/6t^3

Integral of 1/6t^3 dt

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   3   
 |  t    
 |  -- dt
 |  6    
 |       
/        
0
$$\int\limits_{0}^{1} \frac{t^{3}}{6}\, dt$$ 
Integral(t^3/6, (t, 0, 1))
Detail solution

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

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /              
 |               
 |  3           4
 | t           t 
 | -- dt = C + --
 | 6           24
 |               
/
$${{t^4}\over{24}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/24
$${{1}\over{24}}$$ 
=
= 
1/24
$$\frac{1}{24}$$
Simplify
Numerical answer [src] 
0.0416666666666667
0.0416666666666667
The graph
Integral of 1/6t^3 dt

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

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