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
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
Tags: integraali, Matikka, yo-koe
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