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Solving integrals/ ax

Integral of ax dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |  a*x dx
 |        
/         
0
$$\int\limits_{0}^{1} a x\, dx$$ 
Integral(a*x, (x, 0, 1))
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
 |              a*x 
 | a*x dx = C + ----
 |               2  
/
$$\int a x\, dx = C + \frac{a x^{2}}{2}$$
Simplify
The answer [src] 
a
-
2
$$\frac{a}{2}$$ 
=
= 
a
-
2
$$\frac{a}{2}$$ 
a/2

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

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