Mister Exam

Other calculators

2xdx
Solving integrals/ 2xdx

Integral of 2xdx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  2*x*1 dx
 |          
/           
0
∫012x1 dx\int\limits_{0}^{1} 2 x 1\, dx 
Integral(2*x*1, (x, 0, 1))
Detail solution

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

    ∫2x1 dx=2∫x dx\int 2 x 1\, dx = 2 \int x\, dx

    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}

    So, the result is: x2x^{2}

  2. Add the constant of integration:

    x2+constantx^{2}+ \mathrm{constant}

The answer is:

x2+constantx^{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                 
 |                 2
 | 2*x*1 dx = C + x 
 |                  
/
x2x^2
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
1
11 
=
= 
1
11
Simplify
Numerical answer [src] 
1.0
1.0
The graph
Integral of 2xdx dx

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

    © Mister Exam – Calculator