Nilai ₀∫π x cosx dx =
Penyelesaian:
∫udv = uv – ∫ vdu
∫udv = uv – ∫ vdu
₀∫πx cosx dx = x sin x – ∫sinx.dx
= x sin x + cosx ₀∫π
= (π sinπ + cosπ) – (0 sin0 + cos0)
= (0 + (-1) – (0 + 1)
= -1 – 1
= -2