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2x^4
Solving integrals/ 2x^4

Integral of 2x^4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     4   
 |  2*x  dx
 |         
/          
0
∫012x4 dx\int\limits_{0}^{1} 2 x^{4}\, dx
Simplify
Detail solution

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

    ∫2x4 dx=2∫x4 dx\int 2 x^{4}\, dx = 2 \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: 2x55\frac{2 x^{5}}{5}

  2. Add the constant of integration:

    2x55+constant\frac{2 x^{5}}{5}+ \mathrm{constant}

The answer is:

2x55+constant\frac{2 x^{5}}{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                  5
 |    4          2*x 
 | 2*x  dx = C + ----
 |                5  
/
2 x55{{2\,x^5}\over{5}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
2/5
25{{2}\over{5}} 
=
= 
2/5
25\frac{2}{5}
Simplify
Numerical answer [src] 
0.4
0.4
The graph
Integral of 2x^4 dx

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

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