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Solving integrals/ -0.02*x

Integral of -0.02*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 10       
  /       
 |        
 |  -x    
 |  --- dx
 |   50   
 |        
/         
0
$$\int\limits_{0}^{10} \left(- \frac{x}{50}\right)\, dx$$ 
Integral(-x/50, (x, 0, 10))
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
 | -x            x 
 | --- dx = C - ---
 |  50          100
 |                 
/
$$\int \left(- \frac{x}{50}\right)\, dx = C - \frac{x^{2}}{100}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1
$$-1$$ 
=
= 
-1
$$-1$$ 
-1
Numerical answer [src] 
-1.0
-1.0

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

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