∫(x-x√x)^2 = .... integral ( x - x √ x) ^2 hasilnya berapa?
Matematika
MZhou
Pertanyaan
∫(x-x√x)^2 = ....
integral ( x - x √ x) ^2 hasilnya berapa?
integral ( x - x √ x) ^2 hasilnya berapa?
1 Jawaban
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1. Jawaban DB45
integral
∫(x - x√x)² dx
∫x² - 2x²√x + x³ dx
∫ x² - 2x⁵/² + x³ dx
= 1/3 x³ - 2(2/7)x⁷/² + 1/4 x⁴ + c
= 1/3 x³ - 4/7 x⁷/² + 1/4 x⁴ + c
= ¹/₃ x³ - ⁴/₇ x³√x + ¹/₄ x⁴ + c