Question

Bagaimana caranya menggunakan Integral Parsial ? tolong dibantu yaa

Answer 1

Verified answer

Ikutin cara itu
Bentuk umum:∫ f(x) ∙ gⁿ (x) dx
Rumus:
∫ u ∙ dv = u ∙ v - ∫ v ∙ du

Contoh 1:∫ 4x (2x + 6)⁵ dx

Jawab:misalkan
u = 4x ⇒ du = 4 dx
dv = (2x + 6)⁵ dx ⇒ v = ∫ (2x + 6)⁵ dx = ⅙ ∙ ½ ∙ (2x + 6)⁶ + c

∫ 4x (2x + 6)⁵ dx
= 4x ∙ ⅙ ∙ ½ ∙ (2x + 6)⁶ - ∫ ⅙ ∙ ½ ∙ (2x + 6)⁶ ∙ 4 dx
= ⅓ (2x + 6)⁶ - ⅓ ∙ ½ ∙ (1/7) (2x + 6)⁷ + c
= ⅓ (2x + 6)⁶ - (1/42) (2x + 6)⁷ + c

Answer 2

Semoga membantu.......