Tentukan integral5x^3-6x^2+3xdx/x akar x

semoga membantu yaa :)

Penyelesaian:

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

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