integral x (x- 1)^2 /akar x
Matematika
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Pertanyaan
integral x (x- 1)^2 /akar x
1 Jawaban
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1. Jawaban DB45
integral
∫ x(x-1)² /(√x) dx = ∫ x(x² -2x +1) / (x¹/²) dx
= ∫ (x³ - 2x² + x)(x⁻¹/²) dx
= ∫ x⁵/² - 2x³/² + x¹/² dx
= ²/₇ x⁷/² - 2(²/₅)x⁵/² + ²/₃ x³/² +c
= ²/₇ x³ √x - ⁴/₅ x² √x + ²/₃ x√x + c