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Solving integrals/ -3/8x

Integral of -3/8x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2        
  /        
 |         
 |  -3*x   
 |  ---- dx
 |   8     
 |         
/          
1
$$\int\limits_{1}^{2} \left(- \frac{3 x}{8}\right)\, dx$$ 
Integral(-3*x/8, (x, 1, 2))
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
 | -3*x          3*x 
 | ---- dx = C - ----
 |  8             16 
 |                   
/
$$\int \left(- \frac{3 x}{8}\right)\, dx = C - \frac{3 x^{2}}{16}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-9/16
$$- \frac{9}{16}$$ 
=
= 
-9/16
$$- \frac{9}{16}$$ 
-9/16
Numerical answer [src] 
-0.5625
-0.5625

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

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