Nilai dari Integral xcosx dx
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