bantu dong kaka semua please
Matematika
Novellaa
Pertanyaan
bantu dong kaka semua please
1 Jawaban
-
1. Jawaban hendrisyafa
2) a. u = 10-x²
du = -2x dx --> dx = du/-2x
∫ x/10-x² dx = ∫ x/u. du/-2x
= - ∫ du/2u
= -∫ 1/2u du
= - ¹/₂ ∫ ¹/u du
= - ¹/₂ Ln u
= - ¹/₂ Ln (10-x²)
= - ¹/₂ [ Ln (10-3²) - Ln (10-(-1)² ]
= - ¹/₂ [ Ln 1 - Ln 9 ]
= - ¹/₂ [ 0 - Ln 9 ]
= ¹/₂ Ln 9
= ¹/₂. 2,2
= 1,1