Question

Hasil pengintegralan (x+5)(2x^2-1)dx adalah? mohon dibantu secepatnya..

Answer 1

Expanding aja dulu fungsinya :
(x+5)(2x^2 - 1)
= 2x^3 - x + 10x^2 - 5
so,
int (x+5)(2x^2 - 1) dx
= int (2x^3 + 10x^2 - x - 5) dx
= 2/4 x^4 + 10/3 x^3 - 1/2 x^2 - 5x + c
= 1/2 x^4 + 10/3 x^3 - 1/2 x^2 - 5x + c