Интеграл cos(pi/x) (dx)

$$int_{0}^{1} cos{left (frac{pi}{x} right )}, dx$$

1
/
| 2
| /pi pi
| cos|–| dx = -1 – — + pi*Si(pi)
| x / 2
|
/
0

$$int_{0}^{1} cos{left (frac{pi}{x} right )}, dx = – frac{pi^{2}}{2} – 1 + pi {Si}{left (pi right )}$$

-0.125397396509049

/
|
| /pi /pi /pi
| cos|–| dx = C + pi*Si|–| + x*cos|–|
| x / x / x /
|
/

$${{2,cos left({{pi}over{x}}right),x+left(i,Gammaleft(0 ,
-{{i,pi}over{x}}right)-i,Gammaleft(0 , {{i,pi}over{x}}
right)right),pi}over{2}}$$

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