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4x^7
Solving integrals/ 4x^7

Integral of 4x^7 dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     7   
 |  4*x  dx
 |         
/          
0
∫014x7 dx\int\limits_{0}^{1} 4 x^{7}\, dx 
Integral(4*x^7, (x, 0, 1))
Detail solution

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

    ∫4x7 dx=4∫x7 dx\int 4 x^{7}\, dx = 4 \int x^{7}\, dx

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

      ∫x7 dx=x88\int x^{7}\, dx = \frac{x^{8}}{8}

    So, the result is: x82\frac{x^{8}}{2}

  2. Add the constant of integration:

    x82+constant\frac{x^{8}}{2}+ \mathrm{constant}

The answer is:

x82+constant\frac{x^{8}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |                8
 |    7          x 
 | 4*x  dx = C + --
 |               2 
/
x82{{x^8}\over{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
1/2
12{{1}\over{2}} 
=
= 
1/2
12\frac{1}{2}
Simplify
Numerical answer [src] 
0.5
0.5
The graph
Integral of 4x^7 dx

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

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