Matematika

Pertanyaan

tolong bantuin no 14&15 sama caranya ya biar aku paham, makasih
tolong bantuin no 14&15 sama caranya ya biar aku paham, makasih

1 Jawaban

  • 14) dijabarin
    (4x⁴+4x²+1)x³ dx
    (4x^7 + 4x^5 + x³) dx
    (4/(7+1))x^8 + (4/(5+1))x^6 + 1/4x^4 + C
    ½x^8 + ⅔x^6 + ¼x^4 + C

    15) misal x² + 3 = u
    2x dx = du
    dx = du/2x
    2x(x² + 3)^½ dx
    2x u^½ du/2x
    (2x/2x) u^½ du
    (1 / (1+½)) u^(½+1) + C
    (1/(3/2)) u^3/2 + C
    (2/3) u√u + C
    (2/3) (x²+3)√(x²+3) + C