Mister Exam

Other calculators

×
Solving integrals/ ×

Integral of × dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1     
  /     
 |      
 |  x dx
 |      
/       
0
∫01x dx\int\limits_{0}^{1} x\, dx 
Integral(x, (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:

    ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

  2. Add the constant of integration:

    x22+constant\frac{x^{2}}{2}+ \mathrm{constant}

The answer is:

x22+constant\frac{x^{2}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /            2
 |            x 
 | x dx = C + --
 |            2 
/
∫x dx=C+x22\int x\, dx = C + \frac{x^{2}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/2
12\frac{1}{2} 
=
= 
1/2
12\frac{1}{2} 
1/2
Numerical answer [src] 
0.5
0.5
The graph
Integral of × dx

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

    © Mister Exam – Calculator