Integral 3x-4x²√x per x√x

Penyelesaian:

Ingat: a^m . a^n = a^m+n
a^m / a^n = a^m-n

∫ [tex] \frac{3x - 4x^2 \sqrt{x} }{x \sqrt{x} } dx[/tex]
= ∫ [tex] \frac{3x - 4x^5/2}{x^3/2} dx[/tex]
= ∫ 3.x^-1/2 - 4x dx
= 6.x^1/2 - 2x^2 + c
= [tex]6 \sqrt{x} - 2x^2 + c[/tex]