Mister Exam

# Integral of f(x) dx

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### 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:

  /                2
|              f*x
| f*x dx = C + ----
|               2
/                   
$$\int f x\, dx = C + \frac{f x^{2}}{2}$$
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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