Mister Exam

Integral of f(x) dx

Limits of integration:

from to

The graph:

from to

Enter:

The solution

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

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

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