Question

1. hasil dari integral x(6x+5) dx=.....
2.hasil dari integral (4x-3) (x+6) dx =......
3.hasil dari integral
dx=....


-tolong bantu yaaa
-materi integral kelas 11

Answer 1

Integral

∫x^n dx = 1/(n + 1) . x^(n + 1) + C

#1

∫x(6x+5) dx

= ∫(6x² + 5x) dx

= 6/3 x³ + 5/2 x² + C

= 2x³ + 5/2 x² + C

#2

∫(4x-3)(x+6) dx

= ∫(4x² + 21x - 18) dx

= 4/3 x³ + 21/2 x² - 18x + C

#3

∫(x² - 3x)²/x dx

= ∫(x² (x - 3)²/x) dx

= ∫(x(x² - 6x + 9)) dx

= ∫(x³ - 6x² + 9x) dx

= 1/4 x⁴ - 6/3 x³ + 9/2 x² + C

= 1/4 x⁴ - 2x³ + 9/2 x² + C