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Solving integrals/ abs(x)*cos((pix/7))

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  7                 
  /                 
 |                  
 |         /pi*x\   
 |  |x|*cos|----| dx
 |         \ 7  /   
 |                  
/                   
0
∫07cos⁡(πx7)∣x∣ dx\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  /   
 |                         |                 
/                         /
∫cos⁡(πx7)∣x∣ dx=C+∫cos⁡(πx7)∣x∣ dx\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
Simplify
The answer [src] 
-98 
----
  2 
pi
−98π2- \frac{98}{\pi^{2}} 
=
= 
-98 
----
  2 
pi
−98π2- \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.

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