Mister Exam

Integral of x⁹ dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
  /      
 |       
 |   9   
 |  x  dx
 |       
/        
0        
01x9dx\int\limits_{0}^{1} x^{9}\, dx
Detail solution
  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n1n \neq -1:

    x9dx=x1010\int x^{9}\, dx = \frac{x^{10}}{10}

  2. Add the constant of integration:

    x1010+constant\frac{x^{10}}{10}+ \mathrm{constant}


The answer is:

x1010+constant\frac{x^{10}}{10}+ \mathrm{constant}

The answer (Indefinite) [src]
  /               
 |              10
 |  9          x  
 | x  dx = C + ---
 |              10
/                 
x1010{{x^{10}}\over{10}}
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
The answer [src]
1/10
110{{1}\over{10}}
=
=
1/10
110\frac{1}{10}
Numerical answer [src]
0.1
0.1
The graph
Integral of x⁹ dx

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