Mister Exam

Integral of 3x⁴ dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     4   
 |  3*x  dx
 |         
/          
0          
$$\int\limits_{0}^{1} 3 x^{4}\, dx$$
Integral(3*x^4, (x, 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]
  /                  
 |                  5
 |    4          3*x 
 | 3*x  dx = C + ----
 |                5  
/                    
$$\int 3 x^{4}\, dx = C + \frac{3 x^{5}}{5}$$
The graph
The answer [src]
3/5
$$\frac{3}{5}$$
=
=
3/5
$$\frac{3}{5}$$
3/5
Numerical answer [src]
0.6
0.6
The graph
Integral of 3x⁴ dx

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