Mohon bantuannya Kak
Jawaban:
2x (5- x)³ dx =
u = 2x
du = 2 dx --> dx = 1/2 du
dv = (5-x)³ --.> v = ∫dv = -(1/4)(5-x)⁴
∫u dv = uv - ∫v du
= 2x (-1/4) (5-x)⁴ - ∫ 2(-1/4)(5-x)4 dx
= -1/2 x (5-x)⁴ + 1/2 ∫ (5-x)⁴ dx
= - 1/2 x(5-x)⁴ - 1/2 (1/5)(5-x)⁵ + c
= - 1/2 x(5-x)⁴ - 1/10 (5-x)⁵ + c
= - 1/10 (5 -x)⁴ [ 5x + (5 - x) ] c
= - 1/10 (5 - x)⁴ [ 4x + 5 ]
[answer.2.content]
