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Matematika
raniihr
Pertanyaan
saya sangat butuh bantuannya
1 Jawaban
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1. Jawaban DB45
integral
1. ∫ x⁸ dx = 1/9 x⁹ + c
2. ∫ 4/x³ dx = ∫ 4 x⁻³ dx = 4(-1/2) x⁻² + c = -2/x² + c
3. ∫ 5x√x dx = ∫ 5x.x¹/² dx= ∫ 5x³/² dx = 5 (2/5) x⁵/² + c = 2 x²√ x + c
4. ∫ 2/ √x dx = ∫2 x⁻¹/² dx = 2 (2) x¹/² + c = 4√x + c
5. ∫ 6x²- 4x + 3 dx = 2 x³ - 2x² + 3x + c
6. ∫ (x - 4/∛x) dx = ∫ x - 4.x⁻¹/³ dx = 1/2 x² - 4(3/2) x²/³ + c
= 1/2 x² - 6∛x² + c
7. ∫2x(6x²-3x) dx = ∫ 12x³ - 6x² dx = 3x⁴ - 2x³ + c
8. ∫( 5x√x - 3x²)/(√x) = ∫ 5x - 3x³/² dx = 5/2 x² - 6/5 x⁵/² + c
= 5/2 x² - 6/5 x²√x + c
9. ∫ √x (x² - 2/√x) dx = ∫ x⁵/² - 2 dx = 2/7 x⁷/² - 2x +c = 2/7 x³√x - 2x + c
10. ∫{√x (2x² - 3√x)}/(x) dx = ∫ (2x⁵/² - 3)x⁻¹ dx = ∫2x³/² - 3x⁻¹ dx
= 2(2/5) x⁵/² - 3 Ln x + c
= 4/5 x²√x - 3 ln x + c
....