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Integral of abs(x)*cos((pix/7)) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  7                 
  /                 
 |                  
 |         /pi*x\   
 |  |x|*cos|----| dx
 |         \ 7  /   
 |                  
/                   
0                   
$$\int\limits_{0}^{7} \cos{\left(\frac{\pi x}{7} \right)} \left|{x}\right|\, dx$$
Integral(|x|*cos((pi*x)/7), (x, 0, 7))
The answer (Indefinite) [src]
  /                         /                
 |                         |                 
 |        /pi*x\           |        /pi*x\   
 | |x|*cos|----| dx = C +  | |x|*cos|----| dx
 |        \ 7  /           |        \ 7  /   
 |                         |                 
/                         /                  
$$\int \cos{\left(\frac{\pi x}{7} \right)} \left|{x}\right|\, dx = C + \int \cos{\left(\frac{\pi x}{7} \right)} \left|{x}\right|\, dx$$
The answer [src]
-98 
----
  2 
pi  
$$- \frac{98}{\pi^{2}}$$
=
=
-98 
----
  2 
pi  
$$- \frac{98}{\pi^{2}}$$
-98/pi^2
Numerical answer [src]
-9.9294759969491
-9.9294759969491

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