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Solving integrals/ 15x

Integral of 15x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 10        
  /        
 |         
 |  15*x dx
 |         
/          
5
$$\int\limits_{5}^{10} 15 x\, dx$$ 
Integral(15*x, (x, 5, 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
 |               15*x 
 | 15*x dx = C + -----
 |                 2  
/
$$\int 15 x\, dx = C + \frac{15 x^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1125/2
$$\frac{1125}{2}$$ 
=
= 
1125/2
$$\frac{1125}{2}$$ 
1125/2
Numerical answer [src] 
562.5
562.5

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

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