Mister Exam

Other calculators

x⁸
Solving integrals/ x⁸

Integral of x⁸ dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   8   
 |  x  dx
 |       
/        
0
∫01x8 dx\int\limits_{0}^{1} x^{8}\, dx 
Integral(x^8, (x, 0, 1))
Detail solution

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

    ∫x8 dx=x99\int x^{8}\, dx = \frac{x^{9}}{9}

  2. Add the constant of integration:

    x99+constant\frac{x^{9}}{9}+ \mathrm{constant}

The answer is:

x99+constant\frac{x^{9}}{9}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |              9
 |  8          x 
 | x  dx = C + --
 |             9 
/
∫x8 dx=C+x99\int x^{8}\, dx = C + \frac{x^{9}}{9}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/9
19\frac{1}{9} 
=
= 
1/9
19\frac{1}{9} 
1/9
Numerical answer [src] 
0.111111111111111
0.111111111111111
The graph
Integral of x⁸ dx

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

    © Mister Exam – Calculator