Question

Integral X^3+X^2-X dx
-----------
akar X

Answer 1

Split aja dulu fungsinya :
int (x³ - x² - x )/√x  dx
= int (x³/√x  - x²/√x  - x√x) dx
= int (x³/x^1/2  - x²/x^1/2 -  x/x^1/2) dx
= int (x^5/2  - x^3/2  - x^1/2) dx
= 2/7 x^7/2  -  2/5 x^5/2  -  2/3 x^3/2  + c

Answer 2

Integral dari (x³+x²-x)dx = (1/4)x^4 + (1/3)x³ - (1/2)x² + C