integral(x pangkat 2 - 1/x pangkat 3 + 4 akar x dx
Matematika
cadew1
Pertanyaan
integral(x pangkat 2 - 1/x pangkat 3 + 4 akar x dx
1 Jawaban
-
1. Jawaban SadonoSukirno
(x² - 1/x³ + 4√x) dx
(x² - x^-3 + 4x^½) dx
= (1/(2+1))x^(2+1) - (1/(-3+1))x^(-3+1) + (4/(½+1))x^(½+1) + C
= ⅓x³ - (-½)x^-2 + (4/(3/2))x^3/2 + C
= ⅓x³ + ½x^-2 + (8/3)x^3/2 + C
= ⅓x³ + (1/x²) + (8/3)x√x + C