| Indefinite integral |
|---|
| integral sin(X) 3 dX = -3 cos(X) + constant |
| Alternate form of the integral |
| -3/2 e^(-i X) – (3 e^(i X))/2 + constant |
| Series expansion of the integral at X=0 |
| -3 + (3 X^2)/2 – X^4/8 + O(X^6) (Taylor series) |
| Definite integral over a half-period |
| integral_0^pi 3 sin(X) dX = 6 |
| Definite integral mean square |
| integral_0^(2 pi) (9 sin^2(X))/(2 pi) dX = 9/2 = 4.5 |