Laske integraali (4/9 -1)∫1/(sqrt(x+5))dx.

1/(sqrt(x+5))=(x+5)^(-1/2)

((x+5))’=1

∫1/(sqrt(x+5))dx=2*sqrt(x+5)

(4/9 -1)/2*sqrt(x+5)=(2*sqrt(4/9+5))-(2*sqrt((-1)+5))=14/3-4=2/3

Vastaus 2/3