integral (4x +8) akar x^2 + 4x - 3dx =.....
Matematika
FikriAnshari10
Pertanyaan
integral (4x +8) akar x^2 + 4x - 3dx =.....
1 Jawaban
-
1. Jawaban yessyv
∫ (4x + 8)(x² + 4x - 3)^1/2 dx
misal: x² + 4x - 3 = u
2x + 4 dx = du
∫ (4x + 8)(x² + 4x - 3)^1/2 dx = ∫ 2(2x + 4)(x² + 4x - 3)^1/2 dx
= ∫ 2u du
= 1/3 u³ + c
= 1/3 (x² + 4x - 3)³ + c