Matematika

Pertanyaan

saya sangat butuh bantuannya
saya sangat butuh bantuannya

1 Jawaban

  • 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
    ....