Mister Exam

Other calculators

5x^4
Solving integrals/ 5x^4

Integral of 5x^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
∫015x4 dx\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:

    ∫5x4 dx=5∫x4 dx\int 5 x^{4}\, dx = 5 \int x^{4}\, dx

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x4 dx=x55\int x^{4}\, dx = \frac{x^{5}}{5}

    So, the result is: x5x^{5}

  2. Add the constant of integration:

    x5+constantx^{5}+ \mathrm{constant}

The answer is:

x5+constantx^{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |                 
 |    4           5
 | 5*x  dx = C + x 
 |                 
/
∫5x4 dx=C+x5\int 5 x^{4}\, dx = C + x^{5}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
1
11 
=
= 
1
11 
1
Numerical answer [src] 
1.0
1.0
The graph
Integral of 5x^4 dx

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

    © Mister Exam – Calculator