Mister Exam

Other calculators

5*x^4
Solving integrals/ 5*x^4

Integral of 5*x^4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     4   
 |  5*x  dx
 |         
/          
0
$$\int\limits_{0}^{1} 5 x^{4}\, dx$$ 
Integral(5*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] 
  /                
 |                 
 |    4           5
 | 5*x  dx = C + x 
 |                 
/
$$\int 5 x^{4}\, dx = C + x^{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1
$$1$$ 
=
= 
1
$$1$$ 
1
Numerical answer [src] 
1.0
1.0
The graph
Integral of 5*x^4 dx

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

    © Mister Exam – Calculator