Integral 3akar x-5x+4 dx

Integral ( 3√x -5x +4) dx
= Integral ( 3x^1/2 -5x +4)dx
= { (3x)^(1/2+1) } / (1/2+1) -(5x^(1+1)}/(1+1) +4x +c
= (3x^3/2)/(3/2) - (5x^2)/2 +4x + c
= 2x^3/2 -(5/2)x^2 +4x +c
= 2x√x -(5/2)x^2 +4x + c

Menentukan Integral

Soal
∫ 3√x - 5x + 4 dx = ...

Penyelesaian
∫ 3√x - 5x + 4 dx
∫ 3x^1/2 - 5x + 4 dx
3x^3/2 / 3/2 - 5/2 x^2 + 4x + c
2x^3/2 - 5/2 x^2 + 4x + c
2x√x - 5/2 x^2 + 4x + c