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Matematika
putri6999
Pertanyaan
Pliiiiis tolong cari sama caranya
1 Jawaban
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1. Jawaban arsetpopeye
Integral parsial
Turunan ....... Integral
(+) x ............... (4 - x)^1/2
(-) 1 ................ -2/3 (4 - x)^3/2
(+) 0 .............. -2/3 . -2/5 (4 - x)^5/2
Kali silang
x . -2/3 (4 - x)^3/2 - 1 . -2/3 . -2/5 (4 - x)^5/2 + C
= -2/3 x (4 - x)^3/2 - 4/15 (4 - x)^5/2 + C
= -2/3 (4 - x)^3/2 [x + 2/5 (4 - x)] + C
= -2/3 (4 - x)^3/2 [(5x + 8 - 2x)/5] + C
= -2/3 [(3x + 8)/5] (4 - x)^3/2 + C
= -2/15 (3x + 8) (4 - x)^3/2 + C