Evaluate the definite integral
from x=1 to x=4
((x-2))/((square root x)) This is what I did
x^(1/2)-(x)^(-1/2)
(2/3)x^(3/2)-2x^(1/2)
Did I set this up correctly?
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Evaluate the definite integral
from x=1 to x=4
((x-2))/((square root x)) This is what I did
x^(1/2)-(x)^(-1/2)
(2/3)x^(3/2)-2x^(1/2)
Did I set this up correctly?
Looks okay to me.
Whoops no, you're a factor of 2 out in the second term.
What do you mean factor of 2 out in the second term?
hi homeylova223
he means that you have lost the two from 2x^(-1/2)
So would I be left with
(2/3)x^(3/2)-4x^(1/2) ?
that is correct but don't forget the integration constant C.
It's a definite integral, so the C isn't needed. Instead the OP needs to find the difference between the integral value when it is evaluated at the upper and lower terminals.Quote:
Originally Posted by anonimnystefy
hi Prove It
sorry i didn't see that it was a definite integral.my mistake.