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Solving integrals/ 2ax

Integral of 2ax dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                   
 |                   2
 | 2*a*x dx = C + a*x 
 |                    
/
$$\int 2 a x\, dx = C + a x^{2}$$
Simplify
The answer [src] 
   3
4*a
$$4 a^{3}$$ 
=
= 
   3
4*a
$$4 a^{3}$$ 
4*a^3

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

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