Lösung Bestimmtes Integral

Bestimme den Wert des Integrals:

1. \[\int_0^\pi \sin(x)\, dx = [-\cos(x)]_0^\pi = -(-1) - (-1) = 2\]
2. \[\int_0^{2\pi} \sin(x)\, dx = [-\cos(x)]_0^{2\pi} = -1 - (-1) = 0\]
3. \[\int_0^1 e^x\, dx = [e^x]_0^1 = e^1 - e^0 = e - 1\]