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Solving integrals/ -5x

Integral of -5x dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |  -5*x dx
 |         
/          
0
$$\int\limits_{0}^{1} \left(- 5 x\right)\, dx$$ 
Integral(-5*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
 |               5*x 
 | -5*x dx = C - ----
 |                2  
/
$$\int \left(- 5 x\right)\, dx = C - \frac{5 x^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-5/2
$$- \frac{5}{2}$$ 
=
= 
-5/2
$$- \frac{5}{2}$$ 
-5/2
Numerical answer [src] 
-2.5
-2.5
The graph
Integral of -5x dx

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

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